{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "90d5719f-2e20-4eca-8152-0acbf4070515",
   "metadata": {},
   "source": [
    "# 图片读取及显示"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "54d2ed1a-ef0d-471f-84f0-81cf4b13c907",
   "metadata": {},
   "outputs": [],
   "source": [
    "#包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cv2 as cv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ab4d04e6-b1d9-44b6-974d-4e5a97c85c80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]], dtype=uint8)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#读入图片\n",
    "img = cv.imread('pic/home.jpg')\n",
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "34136723-9c5f-419c-beca-fe5ec991160b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cv.imwrite('test/h.jpg',img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e4804902-f797-4cf6-ac93-99cf3619cae8",
   "metadata": {},
   "outputs": [],
   "source": [
    "cv.imshow('n',img)\n",
    "cv.waitKey(0)\n",
    "cv.destroyAllWindows()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d308bab4-af26-434b-ad4e-6e715f1dd2de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f1f761d3-ee33-45bf-829d-c47f5b8a2e3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "img2 = cv.cvtColor(img,cv.COLOR_BGR2RGB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "02b2eccd-117f-4d53-90d4-da1f0f78eb97",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "9f19d1c5-9e95-4ccc-92c9-9a95818e346d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#灰度图\n",
    "img3 = cv.imread('pic/home.jpg',0)\n",
    "cv.imshow('n',img3)\n",
    "cv.waitKey(0)\n",
    "cv.destroyAllWindows()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d96c78e2-b36f-4561-8346-7482e7ed09e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9LyiJ9cVca+8WTz31FJYtWyY36HAkURSh1WoxduxYzJ8/HxaLRa4WVerpbjKZ5NgOHTqEYcOGobS01LlBkUPcqCRV782BXn31VfmEtU5xcXHy8traWkyaNAmBgYHw8vLC8OHD+TY62RBFEX369MHIkSMREhICnU4HnU6n6P73rE2rs7Ky8OWXX+LYsWPQ6/VOqW6zWCyora3FsWPH8OWXX+Lw4cPQaDSKfEZlZW31p9PpEBISgoceegi9e/dWdMzkGHZps9quXTsUFhbK086dO+Vl06ZNw9q1a7Fy5Ups374d586dwwMPPGCPMMhFqVQqTJo0CfPmzUOzZs0AQPHNy61jK/30009IS0tTxPOVXbt2IS0tDT///DN0Oh1UKpWzQ7oma5dPABAeHo63334bkyZNUmzJmRzHLkeAWq1GSEjIFfPLysqwaNEiLFu2DPfccw8AYPHixWjTpg327NmDbt262SMccgE9e/bEfffdB7PZDABo0aKFYpNS3U5hT506hW+++QYWiwUajQbbtm1zbnBX8csvv8BsNsNoNEIURYwaNQrR0dEAlNdZbd1YWrZsiZkzZwK4fBOwceNG7Nq1y1mhkZPYJUnl5OQgLCwMbm5u6N69O+bMmYPIyEhkZGTAaDQiJSVFXjcuLg6RkZHYvXv3NZOUXq+3eeGvvLzcHmGTkwiCgB49euDll1+GwWCAwWBQ3MWzLmuCEkURBQUFeOedd+TufpRo+/bt2L59O4DL3Uf17NkTzZs3h8ViUVzv8HVjadGiBf75z39Cq9VCq9WioqICu3fvVlS8ZH/1Xt2XnJyMJUuWYMOGDViwYAHy8vLQq1cvVFRUoKioCFqtFn5+fjY/ExwcfN1B0ubMmQNfX195ioiIqO+wyUmSkpKwcOFCDB06FHq9XtEJytpjOQAUFxfj2WefxTvvvAOj0ejkyG6ewWDA22+/jWeffVYe6t3aA7vSWI8Dg8EAvV6PYcOGYcGCBTbdQFHDZ/fWfaWlpYiKisK7774Ld3d3PPbYY1d0g9K1a1f06dMHb7755lW/42olKSYq12ZtgXb//ffjk08+kS/+Sk1QAGxa6uXm5uL++++XL/SuJjg4GKtXr0aLFi0AXP57KLVhSt3qVYvFgrS0NKxZswYGg0Hx74HRjTn9PSk/Pz+0bt0aubm5uO+++2AwGFBaWmpTmiouLr7qMywra6sfajhat26NN954Q77ZUPK7PMDlJtKvv/46fvvtNwBATU0NLl265OSobt+lS5cwefJkuLu7AwC6dOmCF198UZENFf56TDzzzDMYOXIk/vWvfyE7O9tJUZGj2P2IrKysxIkTJ/DII4+gc+fO0Gg02LJlC4YPHw4AyM7ORn5+Prp3727vUMiJ6vaKAAAxMTG466674OnpqfiWe2VlZSgrK8OBAwdsWqq6MoPBgIyMDPmzWq3GuXPn4Ofnp8jePOoeH23atEFERARiYmLkLqbs1ZsHOV+9V/c9++yzGDx4MKKionDu3Dm88soryMzMxNGjR9G0aVM89dRTWL9+PZYsWQIfHx9MmTIFAG6p1Q5f5nU9np6eWLBgARISEgAAbm5uCAkJUWTP3X8d0v2NN97At99+i8LCwgY7DLqHhwdCQ0MxatQoPP/88/J8pVa/WiwWFBYWyo8BsrKy8NRTTzXYv09D5vDqvjNnzmD06NEoKSlB06ZN0bNnT+zZswdNmzYFALz33nsQRRHDhw+HXq9Hv3798PHHH9d3GKQgUVFRaNasGWJjY11mWHeVSoXi4mKcO3cOx44dw4kTJ5wdll1VV1fjxIkTOHr0KLKystCsWTMEBQUptgNfURRtnkvr9Xq0b98ehYWF9dLDPCkHu0UiuxJFEfPnz8egQYPg7e0NlUql2OQEXI5XrVbDzc0NH374IV599VVUV1c3mjGPdDodPDw8MHv2bEyePBm1tbUwmUyK/5uZzWZUVFRg7dq1mDx5sqLjJVtObzhBjU90dDTi4+NtXsz962sHSiMIAsrKyrB//35IkgSNRoODBw+6dOOI22FtSXvgwAGsW7cORqMRgiAgKSkJvr6+iixVAZdf9vXz80OLFi3Qr18/ed6hQ4dYsnJxLElRvXvqqafwwQcfQK/Xw2QyXfGMR2msHcP+9ttvuP/++1FRUSGPVdVY78itgxNKkgQfHx+sXr0aSUlJin8nzPoMTa1WQ6fTYfLkyfj000+dHRZdB0tS5DCRkZHo27cvevbsKT/XUeqD97rDalRVVWHt2rU4fPgwqqurHT5ERI8ePdChQwc5IdZt7Vj3BWJRFJGRkeGQfgEtFoscT3V1NVatWoXs7GwMHjwYnp6ein1lwLq/rP0U9urVCxaLBRs3bkRBQYGTo6PbwZIU1ZvU1FQsW7ZMbmau1AQFQL7wazQa5OfnIyUlBfn5+U6J5e2338YzzzwDs9kMs9ls8wzI+oxMpVJBpVLhrbfewowZM5wSZ1RUFDZv3oyIiAi5RKXUkmbd0rvRaMTo0aOxceNGJ0dFV8OSFNldaGgoJkyYgLZt20IURcXeZdelVqthNBrx8ccf49ChQw599hQXF4fHHnsMwOX3lZKTk2EwGOSWdHVLUhaLBSaTCWazGSqVCnfddRdee+01aLVaAJc7aD5+/LhD4r506RLmzp2L+Ph4PP7441Cr1TAYDA7Z9q2qe+yJoohx48YhKSkJixYtum4XbKQ8LEnRban7flP79u2xdu1a+Pn5KfbO2sqaADw8PFBdXY3U1FTs27fPYdsXRRGDBg3Cd999B0mSUFtbK9/1X6/k+dd13NzcAADDhw/H+vXrHbrfu3Xrhg0bNkCn06GmpsamSlKpRFHExYsXMWTIEBw6dEier/TjtTG4UUmKSYpumVarxTPPPIO2bdsCuNz1Vffu3RXb91vdC+jSpUuxfv16qFQqmM1m7Ny5ExcvXnRIHFFRUXjppZfQsmVLdO3aFZIkyc+/bqY38rrrWEcA3rt3L3Jzc/Haa685rLoyICAAvXr1kpt+Dxo0CKNHj5aXK/XCbzQasWvXLrmXiqNHj+Ltt99WfGOQho7VfVSv3Nzc4OPjg969e+Ouu+6S5yv1wlT3uURtbS0OHjyIH3/80eExWHt0GDRoEHx9fW2GSwdurmq07jpmsxmCIKBbt26Ii4vDokWLUFJSgurqartXs168eBFr1qyRPzdr1gyDBg2Cm5ubPAKwEu99NRoN+vTpI39u2rQp/u///g8VFRWKHmqlsVN2GZ0U5x//+AdWrlwpd29Ud0RVpbG28tJoNNiwYQOGDBmC1atXOzyOgIAALFiwAO+//z50Op3cm/qdXMit+91oNMLNzQ3vv/8+Pv74Y/j7+9dj5Dfnhx9+wJAhQ/Cf//wHGo0GKpVKsdV/dfd7+/btsXLlSkydOtXJUdH1sCRF1+Xl5YUmTZrIn+Pj49GpUyf5sxLvmIH/NkWura1FSUkJjh8/jv379zts+4GBgfDy8gJw+Y69Y8eOiI6OrvfOdCVJgiiKaNeuHTw8PBATEwNvb28Alzt3LikpqbdtXUtRURGKiopw/Phx5OfnIzAwEG5ubopt3SlJEgRBgLe3Nzp37oyCggJ5pGIAuHDhAiorK50XINngMym6rgcffBDz5s2D0WiE0WiEv78/PDw8nB3WDYmiCA8PD/zyyy948skncfHiRYe24HvjjTdw//33A7jc80GTJk3sPgyGyWTChQsX5J4+fvjhB7zwwgt23WZd/v7+CAgIwKefforevXujurpasaXsuqqrq3Hp0iVoNBqo1Wo8++yz+P77750dVqPBZ1J0W3x8fNC6dWskJCQgPDwcJpMJRqNRsXfHwOXSk8FgwNGjR2EwGKDT6XDw4EGcPn3aYS/ohoeHIzw8HHFxcTYdoDriYq1WqxEWFiZ/jouLQ7du3VBQUICzZ8/affuXLl1CRUUFDh48CK1WC71eD51Oh7Zt20Kj0Sj2uPH09ISXl5ecpNq3b4/Tp0/jjz/+QHl5ubPDa/RYkqKr6tmzJ77++mt4eXnJA04q9a7Y+vxDpVKhqKgIw4YNk3stN5vNqKmpcVgszz33HJ599llotVqn9bhhba5uNpthMBjw5ptv4p133nHY9t3d3eUeH1q2bInVq1fLPaoDyj+O9Ho9KioqMHbs2FsaQohuD0tSdEu8vLzQq1cvdO7cGd7e3vJLo0q9l6k7rPivv/6KnJwcFBcXO+yZQlBQEHr16iUnhYSEBHkgR8A5+836zEWlUsHT0xOJiYkYNmyYnDTT09Px559/2m37dW8KiouLsXbtWrRq1Qrdu3eHKIqKbf1n3W86nQ6CIKBPnz7w9fXFjh07+IzKiViSIhstW7bE+vXrERwc7OxQbqhu1ze1tbUYMWIEduzY4dA79T59+mDdunVQq9WKb8bs5uYGg8GAwYMHY9u2bQ7briiKuPvuu/Hdd9/JpXIlVxvXVVRUhIEDByI3N9fZoTRYLEnRdYmiiCFDhiAmJgYA0KRJE3h5eSn2breu3bt3y71FGI1GnD592mEJyt/fHw899BDat28PQRBgsVjkhKm0/Va3tCmKIkaOHIm4uDisWLHCIY1JLBYLTp06hQ8//FB+4Ts5ORnJycl23/adEAQBXl5eGD9+vPzC98mTJ7F27VrFVlk2RCxJNXIajQbffPMN+vbtK89zlRPwjTfewJtvvumUbbdu3RqbN29GUFCQ4jtbtarbqW5RURFSUlKcVkKYOXOmzTD1Slb3na8NGzZgzJgx7KWiHrEkRdf04IMPolevXnL3Rkq+X6lbtbd3714sX74cGRkZDo/D09MTkyZNQtu2beHu7i63eHQF1jiNRiM8PDzwwgsv4OjRo5g/fz6qq6sdGsvPP/+M8+fPY8yYMejatascnxL3Zd1hU9q1a4d33nkH27dvZzN1B2GSakTqjrMDXB5rx9obN6D8JGXt6+7YsWNYtGiRw7ZdtwcFb29vPPDAA2jXrp3NmEuuoG7v9DqdDiNGjMDhw4fxxRdf2JQGra3w7CkzMxO///47OnXqhI4dO8p9ESrxGKybpCIiIvDYY4/BbDbbdK/1126uqP6wuq8R6dmzJ2bMmCFf7OPi4hAeHi4vV+qhIIoi3NzckJWVhVdeeQV5eXk4cuSIw7Y/efJkDBgwAAaDASqVCp06dZJ7k3BlgiCgoqICBw4cgNlshlarxdq1a7FgwQKHxdCuXTvExMRg9uzZSEhIQE1NjWKPw7qjSxcUFCA7O1tOrm+++SZ27tzpxOhcF6v7CGq1Gt7e3mjVqhX69+8vvz+j1OoVK0mSUF5eDovFAg8PD+Tn52PTpk3Q6/UO2b6bmxs8PT3RqVMnpKamQq/X2wxI6OokSYKXlxd69+4tD7d+9uxZBAYGoqqqyiGtFY8cOYKTJ0/i8ccfR3h4OKqrqyGKInx8fGySghLUPVciIiIQGRkJnU4HURSxatUqHD16FOXl5Q4f2bmhY0mqEYiPj8cHH3yAsLAwREZGukQ1lSiKqKiowKRJk5CTkwNRFFFZWYm8vDyHJdZHHnkEU6ZMQWhoKAIDA2E2mxW/326XtSq4pKQEhYWF+OCDD7B06VKHbFsQBMTExMDLywsWiwWtWrXCxx9/LH9WMlEUIYoizp49i3PnzmHy5Mk4fPiws8NyKSxJNWJqtRqRkZGIi4tDfHw8PDw86r2D0/pmfS5x7tw5nDt3DocOHXJYCzR3d3dERERAFEVYLBa0adMG8fHx8rDuSt5vd0qSJJjNZvj5+SEwMBBxcXFo3bq1vC/y8/PtVrKSJAknT56UPxsMBmRnZyMsLAzBwcGKfVYF/Lc3+oiICAQEBCAuLg7V1dXIz89niaqesCTVgDVr1gzLly9HVFQUfH19FVd9Upe19Z5arYbJZEJaWho2b96MS5cuOexk79y5M1asWCGPOGvt060xKi8vR01NDdzd3VFTU4NRo0bhwIEDDtm2Wq2Gv78/UlJS8Omnn8rHhCtUT5eVleHUqVMYPXo0zp075+yQXAJLUo1M27Zt0bRpUwCXu+xp1qwZ/P39FX1yA5ATVE5ODgoKCnDixAm7dt1Tl5ubGzp06ICOHTsiODgYWq1W8b1H2JuPjw98fHzg5uYGvV6P5ORkaLVaHDx40O7PBE0mE/7880+cPHkS6enpiIyMRMuWLRXfgk4QBPj7+8NoNKJHjx44f/48gMtdQx0/ftzJ0bkulqQaEFEU8dlnn2Ho0KHyPGvrI6XTarVwc3PD1KlT8dlnn8FgMDjseURkZCR++uknREVF2fTOQP99kVWSJJw+fRoDBgxAQUGBw7at1Wrx5JNP4r333kNtbS0MBoNDtn0nrK1nrVavXo20tDQeU9fAklQj0alTJ8THx6Nly5aK7x+tbtI8ffo0duzYAbVaDY1Gg0OHDjmsFKPRaJCSkoLY2Fj4+flBpVIp/pmdo9XtrNbPzw/Dhw/H8ePHsXnzZrtXw1osFtTW1uL333/HkiVLYDQaYTab0bNnT0RFRdnEqCSCIECr1crHeatWrfDII4/g0KFDDqsybUhYkmogXn/9dZthsJV811a3m5kffvhBfjnS0by9vbF27Vp06dKFD7lvklqtxr59+zB48GCn9AyuUqmwZMkSeUBJwDWOdZVKhXfeeQcvvfSSkyNSHpakGqjWrVtj1KhREAQBJpMJ3bp1U9wd5V/VLUGdPXsWy5Ytw++//+7Qi0y/fv1w1113wWQyQaPRICwsTNEXOaWxWCwICwvDP//5T5hMJqjVauzcuRObNm1y2Pa///575ObmYsyYMQgLC1Nsx77Af0uiZrMZ3bt3xwsvvAC1Wg1JkrBs2TL2rn4TWJJyQYIgYODAgVi1ahUEQUBtba1iq/bqqtv/3r59+zB06FCH3o0LgoC3334b06dPh16vh9FoZIK6TaIoQqPRQKfT4a233sLzzz/v0OPP29sba9asQZcuXQAot2q7Luvx7+bmBovFggceeADr169XfNz2dqOSFJOUi4mIiMBzzz2H1q1bo1evXvL7LUr/M9bU1OCDDz7AqVOnAAAXLlzA1q1bHVbN1qdPH4wdOxadO3dGmzZt5I5hlb7flMp6wdVoNDhy5AgOHjyIr776Ctu3b3fI9jUaDfr06YPAwEAAQPPmzTF16lS4ubk5ZPu3y9qKFQDS09Pxxx9/4K233sKZM2ecHJnzsLqvAdHpdAgNDcWDDz4IPz8/l7nQGgwGVFRUYOPGjQ57cGy9Y7WKj4/HmDFjIEmSy+w3Javbo3pcXBzatGmDjIwMeXwvAHIJ3x6MRiP+85//yJ87d+6Mxx57TG4RqFTWln+CIKB3795ITEzEl19+iT///NNh3X25GpakXERAQADefPNNxMbGIiEhQa7XVuKfr261nsViwZw5c7Bt2zYcOXIEFRUVDomhZcuWePfdd+Hp6Yna2lqEhYWhRYsW8nIl7jdXVPc5Y25uLgoLC+Hm5obKykpMnz4dJ06ccEgc3t7eaNeuHfr06YN//etf8nylnyNGoxGHDx9GdnY2nnvuOYcMQqk0LEm5MF9fX7i7uwMAgoODkZycjJiYGMX3vScIAkRRRHl5OcrKypCZmYk9e/Y4ZNuiKCIwMBDR0dHo2bMnvLy8UFNTA4CJyR7q7tMWLVqgRYsWcHd3R0VFBaKjo1FeXo6SkhK7H68VFRXYs2cP/P39UVRUBG9vb3h7eyv2lQJr8lSpVOjYsSN8fX3RrFkz+fWRmpoalJWVOTlKZWBJSsFmz56NwYMHA7jchDUsLEwefluJ6j6n0Gq1mDt3Lj7//HMUFRU5rIFE06ZN8fnnnyM2NhahoaEAlN1EuSGyNrsuLCxEdnY2HnvsMVy4cMEh2/by8kJISAgmTpyIf/7znzAYDC5RvWs0GnHu3Dn5VYw1a9bg1VdfdW5QDsKSlAsKCQlBSEgI4uLi0LJlS3m+0i+2ZWVlKCgogEqlgkajwbFjxxzWxFYQBDRv3hwxMTGIjY1FRESE4rvRaaisza4jIyMhSRISEhKQn5+PkydP2v3vUVlZidzcXBw9ehSZmZnyC8ARERHXvRA6m0ajQUxMjPy5TZs26NChAwoLC1FcXOzEyJyv3ktS0dHROH369BXz//73v2P+/Pno3bv3FS2AnnjiCSxcuPCmt9HQS1LPPvsspk2bBnd3d2g0GsXfBVpt2bIFTz75JIxGIwRBQHV1tcN6j3Bzc8NXX32Fnj17wtPTE4IgKD6pN3SiKEKSJFRVVWHHjh145JFHHDoWmIeHByRJgkajwSeffIJ77rnHIdu+E3WfVdXU1ODtt9/Ge++95+yw7MrhJanffvvNpveAw4cP47777sODDz4oz5s4cSJmz54tf/bw8KjvMFxKYGAgunbtCuDyXWh8fDz8/Pzki6xSE5T1hCovL8fevXuxd+9elJSUOKz3iNatW6N169byqLKRkZHw8fFR7HOIxsZaovLx8UFkZCT69esHo9EIlUqF48eP27WUXVtbK98gqVQq7N27FwCQnJwMb29vxd74WfeZ9R20+Ph4pKam2rxfWFJS4uQoHcvuz6SefvpprFu3Djk5OXKzyw4dOuD999+/6e/Q6/U2d2Dl5eWIiIiwQ7TO0bt3b/z4449Qq9XQ6/U2reOUyvrcQavVIisrCwMHDnRoggKAV155BS+88II8Yq4r7LfGypoUrCMAz5o1C6+//rrDtq9SqdCkSROsX78e8fHxcke1Si9tW/ebTqeD0WjEkCFDHPYumqPcqCQlXnNJPTAYDPj666/xt7/9zebisXTpUjRp0gTx8fGYOXMmqqurr/s9c+bMga+vrzw1lATl5+eH8ePHY8iQIXJv5Wq12qZvO6VSq9UwGo1Yvnw5vv32W1RWVjq0BJWWloZOnTrJLQlVKhUTlIJZO6m1/p2SkpKQlpaG1q1bO2T7ZrMZlZWVWLFiBb755hu5SyelE0VRviao1WoMHToU48aNa9CPO/7KriWpb7/9FmPGjEF+fj7CwsIAAJ9++imioqIQFhaGrKwszJgxA127dsWqVauu+T0NtSTVunVrbN68GUFBQTAajQCUf2dn5enpieLiYvTp0wd//PGHQ7f98MMPY8GCBfJnpVbd0JX+WtpNS0vD8uXLHRpDbGwstm3bhqZNm6Kqqsqh275d1htXjUaDoqIipKSkNJh+/5zaum/RokXo37+/nKCAywelVUJCAkJDQ3HvvffixIkTNi9b1qXT6eT3BxoCDw8PTJgwAW3btoWbm5vcRFap6l5YvvvuOxw4cABqtRrV1dUOG5gQuNz1zbhx49C+fXub/aXkfUe2/vq3GjFiBFq3bo0vvvhC7jLL3s6fP49Zs2bB3d0dJpMJnTt3xvDhw+X4lHg81e3hw93dHdOnT8fRo0exaNEi+T3AhspuJanTp0+jefPmWLVqlc0gfH9VVVUFLy8vbNiwAf369bup73bF1n11L/SBgYFYu3Yt2rVrp/iSk7PvfEVRhCAIkCQJd999N1asWKH4/tno1tTU1OChhx7Cjh075L+1I88LVyyZi6KIQ4cOYciQIbh48SIA14j7apxWklq8eDGCgoIwcODA666XmZkJAPKLlw3Vo48+KjeB1el0aNasmeIPKFEU5ec9K1euxPfff+/QQdu8vb3x4osvIioqCmazGYGBgYp+mZluj1arxcyZM5GWlgaVSoVTp07htddec1hVXHp6Oh555BE8+OCDGD58OMxms+J7dZEkCREREfj444/lRyGbN2/GF1984eTI6p9dkpTFYsHixYsxfvx4m4eTJ06cwLJlyzBgwAAEBgYiKysL06ZNw91334327dvbIxSnsw6L3qVLlysGalNykrKWnkwmE2pqavD7779j9erVDtu+u7s7AgMDcd9996Ft27Yu98yObp5KpUKPHj0AQO5V/eOPP4bFYnFIVVZ+fj7y8/MRGxuLfv36QaPR2JTglUiSJPj4+KB///7yvNLSUqxatQp6vV5uvdgQ2KUZ2ebNm5Gfn4+//e1vNvO1Wi02b96Mvn37Ii4uDs888wyGDx+OtWvX2iMMRbD+ftaDydFVGbdLEAR4eHhg+/btGDhwIJYtW+awbavVarz66qtYunQpIiMj5Wd2rrDf6PZYb9qMRiMiIyOxfPlyvPzyyw5tgff1119j4MCBSE9Ph7u7u0u0Fq17sztw4ECsW7cOw4YNc3JU9csuR0Dfvn2vegcSERHR4Nr4/5VOp0NISIh8F9a2bVt06dLFKcOj3w6TyYSioiIAl0szx48fl1+EtCdfX1/4+/sDuJyk2rdvj44dO8r7Tal3tFR/rC+yurm5oWPHjigrK0N0dLQ85tjFixdRXl5ut+2fPXsW586dw/Hjx9GuXTu5FBcSEuISzdWbNm2KkJAQtGnTBlFRUfI1qKioyKWHAWEHs/WsQ4cOWLp0Kdzc3KDX6+Ht7Q1fX19FX2StzVtFUcTJkyfxyCOPoKSkBKIoorKy0iFvuD/55JN4/vnnYTAY5OdPDalFJ9262tpaXLx4ESqVClqtFq+//jo+++wzu283MDAQXl5esFgsCAoKwpdffono6Gi5JK/kEr0gCCgtLUVlZSV0Oh2qq6vxyCOPyM/+lYgdzDqITqdDmzZtkJSUhMjISOh0Ouj1esW3uLFWaZjNZhw5cgTZ2dnIz8+XWwzZW0BAAFq2bIl27dohIiICBoMBJpNJ0RcCcgw3NzeEh4dDrVZDq9WiXbt26Nq1K3Jzc+16fJaUlMg3ZtXV1cjIyEBFRQXi4uLkl5GVek5LkgQ/Pz/4+/tDp9OhtrYWnTt3BgAcPXrUJZ9VsSRVTyIiIrB27VpERUXJVQNKv9DWbV5+6dIljBgxAocPH0ZNTY3DTsIhQ4ZgwYIFcHNzg1arVXxSJ8ezHqcGgwG1tbV44oknsG7dOodt293dHQkJCfjuu+/g5+cHwDWae1trSEwmE06dOoXBgwcrcph6lqTsTK1Wo2fPnoiNjZWrqMxms+IPYOBy8/+8vDwAl4c4KCwsvGEXVfUlICAAPXv2xF133QUvLy+X6AqKnEur1UKtVqNHjx4QBAE7d+60+0i2kiShuroahYWFWLt2LTw9PQFcfrFc6S2Src/4dDodAgMDMWDAAPzxxx/YuXOn/JzPFbAkdYe8vb2xevVqJCUlOTuUWzZ9+nQsXrxY/uzIkl9SUhLWrFkDLy8vh22TGo7y8nIMGzYM+/fvd9g2695IPf7445g3b57Dtl1ffvvtN9x///0OG4T0ZrAkZQd33323XM+r0+kQGhqq6HpqADbNaffv348dO3bg999/d1hi0mq1eOCBB+SXtsPDw6HT6RS/30h5rC0AR48ejV69egEAzp07h1WrVsnv09lD3XMlMzMT77//vs21AFB2K1RBEBAWFoZJkybJz6Z+++037Ny508mRXR9LUrfhjTfewJQpU+TPSn/2BNjeBb7//vt46aWXHLp9b29v/PjjjzYlTlfYb6RcdY/pffv2YejQoQ4vIfBacOdYkqpHPXv2xMiRI+UBCgFl3zlZiaIInU6HAwcOYNGiRTh48KDDti0IAsaPH4+uXbsiKioKgGvsM1I+63EkCAJiYmLw5ptvYt++ffjyyy8ddoytXr0aeXl5mDBhAjp16uQSLXqtz6oA4N5774Wvry9WrFiBX3/91cmRXR2T1E2wjvOUmJiIxx9/XO79wBUORpPJBFEUodVqceLECSxatMjud3vW/v6Ay13e3HfffRgyZIhNXER3qm6Satq0KcaNGwcfHx+sWLFCfgnc2g+fvezbtw8ZGRm455570LFjR1gsFpjNZvn4V6K6+y0xMREdOnTA0aNHsW/fPphMJsWdn6zuuwmdO3fGjBkzEBMTg9jYWHm+knedKIq4cOEC/vWvf+HChQtQq9UoLCx0yEt9gwYNwt///neYTCaYzWbEx8cjODhYXq7k/Uaup+7z1uLiYhw+fBgqlQpqtRofffQRfv75Z7vH0KFDB4SGhsJsNqNp06Z4/fXXERgYqOjqv7r7LTs7G6dPn8acOXOQkZHh0DhY3XcHVCoVfHx80Lx5c9x3331QqVQuc4GtrKxEUVER0tPTcfbsWYdsU6PRwNvbG23btkVqaiqMRiMMBoPiS5zk2uoeW8HBwQgJCYFWq4VGo8GWLVuwd+9eVFRU2LVRRWZmpnwDGB4ejqKiIuh0Onh4eNhtm3eq7n6Li4tD69atsWLFCpw8eRLl5eWK6cqNJanraNmyJebPn4+wsDBER0cr+mJrfeFRpVKhpqYGkydPxoEDB3Dy5Em7npx19ejRA3PnzkVISAiaNWtm96oWomuxVjmfOXMGRUVFeP7557Fr1y6HbFuj0aB58+bo1KkT5s+fDzc3N/ndSaVeP6yNKU6dOoWzZ89i8uTJDhv5lyWpO+Dm5oY2bdrIHZ8qmSAIEEURRUVFKCoqwqFDh5Cdne2Qbet0OkRERCAuLg7x8fFQq9Uu80IzNUySJMFsNiM0NBRNmjRBbGwsiouLcebMGbt3tmo0GpGdnQ2dTofs7GwEBwcjODhY0cPzWBtTREdHw9vbW1EDizJJ3YDSBz+z0mg0UKvVeOONN/Djjz/a/U38umJiYrB06VIEBQVBFEWX2F/UsNUttahUKsyePRtFRUV45JFHcPz4cYfEcOzYMQwdOhRDhw7FggULYDKZFNsbed39pbTzl0nKRVkfep49exY5OTnQarVQqVT4448/cP78ebtuWxRFJCQkyP2YNW/eHKGhofDy8lLsnSI1br6+vhBFEd26dZMb8Vy6dAmHDx+220XZaDTi/PnzyMnJwdatW2E2m2EwGNC6dWuEhYUBUGYjIqWNo8UkdQPWIdSVdHdR92W8jRs34vnnn5c/O6KXY61Wi1mzZqFnz54A/ttEX4knHBFwORl4enrinXfekY/T9PR0jB492u6lm/T0dOzZs0f+PG/ePDz66KMALp87Sru2KK0fTSapq3B3d0dqairatWsn98ytBHUbR5w5cwZbt27F7t27UVtb67AY7rrrLrRp00YejgRwjR6hiQRBgEajkUsKUVFRGDNmDLKzs+3aqMJisdico7t27YJWq0WfPn0QHh4OQDnnkFLiqIut+64iLCwMv/zyC1q2bInq6mrF/NGsdzlqtRrr16/HQw895NDxYQRBwCeffIKHH35Ybp6qpLtAoptlLS2oVCp89dVXeOKJJxy6fa1Wi5UrVyI1NVUeP00p51JJSQmGDBmCw4cPO2R7bN13GyRJgtFoVNTb1+Xl5Vi+fDkuXboEURSRk5PjkO72O3TogGHDhsnNyRMSEjikO7k8a2s2s9mMhIQEvPjii/JN4OrVq+3+0rvJZMKyZcuwb98+WCwWBAQEYMyYMYoYFcDDwwNPPPEEjh49ii+//BJVVVVOjYdJ6iqsSUopo1hKkoTKykp8+umnDnt3AbhccurYsSNeeukluWWStUsoIldWt1orPj4eCQkJ0Ol0UKvVOHXqFH7//Xe73oRZLBasWLFC/tyyZUsMGTIEnp6eTm+44O7ujscffxw5OTlYtWoVk5QSlZWV4eWXX0bbtm3x9NNPywOdOUrdEXNNJhM++OADHDx4EMXFxQ6LIS4uDtOmTUNsbCwMBoPiX0Ykul3WY9poNMJisWD8+PHo1q0b3n//fYc1Vy8uLsaMGTPQsWNHTJ06VR7d2xnnXGVlJT788EMcPXoUZWVlDt321fCZ1HXEx8dj3bp1Dn+Z11pfbjabUVFRgdGjRztszBfrSJ7/8z//g2+//RZarVau9nTBQ4XopllvDtVqNfR6PUaOHIn09HS5BsERevbsiRUrVsDT01PupNbRNRdKeyalrLaGCiSKosOK39ZeIzQaDdzd3fHRRx9h1KhROHTokEO2DwDNmjXD559/jldffRXA5btLJihqDKzHudFohCAIePXVV/HZZ5/J7zQ5wqFDhzBy5EjMnz8f7u7u0Gg0TrkGKQmr+26Co0aPra6uRkVFBTQaDVQqFbKyshwyxou/v7/cnDwyMhLdu3dHkyZNFN2NC5E91D3eExISEBwcjIiICLmxkF6vt2tvLmVlZfj1118RHh6OwsJCmM1mGI1G+Pj4OKSrorqPGpSCSeoGHNk0dNOmTZg1axYAyP3w2ZtarcasWbPkYbjVajV8fX3ZOIIaPYvFAn9/f3z22WdyS9r09HQ888wzdm9Z+/PPP+PgwYPyeThr1iwMGjTIrtsEII+HpSRMUjfgiB4nKisrcfLkSRw9etShrffCw8MREhKCuLg4tGzZUp7PBEV0mUqlQnR0tPz5/PnzSExMRFFRkV2HwCkvL0d5ebn8+fDhw4iMjETz5s3t1kxdkiScOnUKBQUFqKmpscs2bgcbTlxHYmIitmzZAl9fX9TW1tbrs5m69b67du3C+PHjUV5ejurq6nr5/psxZ84cjBs3Dh4eHlCr1UxORNdgrQYzmUyorq7GkiVL8MILLzhs+x4eHvD19cUXX3yB7t27y/Pr65y1/m4TJ07E5s2bUVlZ6bASFV/mvQNlZWXYtGkTYmJi0L59e3k49vqgUqlQVVWF3bt3IyMjAyUlJXYf9yk0NBSdOnWSqzBjY2Ph5+fH5ER0A9aXf9VqNfz8/BAbG4vU1FS5ocGBAwdQWFhot+1XV1fDZDJh165d0Ov16N69Ozw8POrl3LUmYFEUUVlZqYhm53WxJHUDarUaAwcOxMqVKyFJUr30kycIAjw9PZGTk4OUlBT5Aam9jRgxAl9//TWMRiP0ej1UKpXiWvIQuQJrrYpWq4Uoinj44Yfx/fff2327KpUKzZo1w6ZNm9CyZUtUVVXdUe1O3Wb3JpMJDz74IDZs2FCPEd8YS1J3yGQy4cSJE1iwYIHcPLVbt25ITEyUD46/toapO9/6f1EUIUkSNmzYgPz8fGi1Wvz5558OGaY5ODgYgwYNQnJystxBrUajses2iRoy682d9Zl137594efnh7Vr19p1qByz2YyysjJ8/fXXaNq0KQwGAyIjI9G3b185pptNWtZrgVqtRnp6OrKyspCfn2+32G8XS1K34Y033sCUKVPku6m/lkYsFot8h2JdR6PRwGw2Y+TIkfj5558dGm9ycjLWr18PT09PvvdEVI+s57lGo0FlZSUGDBiAffv2OTSG1NRULFu2TL7xvJnz2xq3VquFVqvFU089hYULFzoi3CuwJGUH69evR1FRkXww1H234K/zrJ9VKhUkScKxY8ccFqe/vz/S0tLQpk0biKLIBEVkB9YaFpVKhaeeegq9e/fGp59+itLSUods//jx43jppZfkHir69++PHj16XPM8FwQBhw8fxooVK+TS1O7dux0S6+1gSaqBsb6dLkkSIiMjsXHjRoSHhzukx3Sixk6tVqOgoACpqanIz8+Xz0VHNk567bXXMHXq1Ku+jG9tILFq1SpMmDBBEY2mWJJqRERRxLRp09C9e3cYDAa4ubnBz89PcS/nETVUZrMZ/v7+ePfdd1FbWwutVotff/0V77//vsNqML755hvs37//uiWps2fPKiJB3QwmqQZCp9PB3d0dPXv2xNChQ1FbWyuPAeWChWUilyRJEtzc3HDfffdBpVLBzc0NgiBg8eLFqKmpsftQ9QBw5MgRHDlyxO7bcZRbbn+cnp6OwYMHIywsDIIgYPXq1TbLJUnCyy+/jNDQULi7uyMlJQU5OTk261y8eBFjx46Fj48P/Pz8MGHCBFRWVt7RL9LY/e1vf8OPP/6Irl27ora2Vh7tk4gcz9q9UG1tLbp27Yoff/wRjz76qLPDckm3nKSqqqqQmJiI+fPnX3X5W2+9hQ8//BALFy7E3r174enpiX79+tm8XzR27FgcOXIEmzZtwrp165Ceno60tLTb/y0aIXd3d0RHRyM6OhpRUVGIj49HUlISfHx85LGfiMh5rInKz88PSUlJaNeuHaKiouTz1t3d3dkhuoQ7ajghCAJ++OEH3H///QAul6LCwsLwzDPP4NlnnwVw+aFYcHAwlixZglGjRuHYsWNo27YtfvvtNyQlJQEANmzYgAEDBuDMmTNX7RZfr9fbFJPLy8sRERFxu2E3CH369MFnn30mv2Ds5+d33YePRORc5eXlKC0tlXszT0tLw9atW50clfM5dDypvLw8FBUVISUlRZ7n6+uL5ORkuYnj7t275TsLq5SUFIiiiL179171e+fMmQNfX195auwJCrjcl1ezZs0QHh6OyMhIJigihfPx8UFkZCQiIiLQrFkzhwy90RDUa5KyDi0RHBxsMz84OFheVlRUhKCgIJvlarUaAQEB1xyaYubMmSgrK5OngoKC+gzbJZlMJlRVVcFgMDg7FCK6BXq9HtXV1Wx1e5NconWfTqeTB+Wjy5Q4OBkRUX2r15JUSEgIAKC4uNhmfnFxsbwsJCTkir6tTCYTLl68KK9DN4eJisj1WPv747l7c+o1ScXExCAkJARbtmyR55WXl2Pv3r3yGCjdu3dHaWkpMjIy5HV++eUXWCwWJCcn12c4RETk4m65uq+ystJm9Ni8vDxkZmYiICAAkZGRePrpp/G///u/aNWqFWJiYvDSSy8hLCxMbgHYpk0bpKamYuLEiVi4cCGMRiMmT56MUaNGXbVlHxERNV63nKT279+PPn36yJ+nT58OABg/fjyWLFmC5557DlVVVUhLS0NpaSl69uyJDRs22LRkWbp0KSZPnox7770Xoihi+PDh+PDDD+vh1yEiooaEHcy6KGv3/Gq1mi/uErkQ64gEo0ePxsaNG50djtM59D0pIiKi+sQkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREisUkRUREinXLSSo9PR2DBw9GWFgYBEHA6tWr5WVGoxEzZsxAQkICPD09ERYWhnHjxuHcuXM23xEdHQ1BEGymuXPn3vEvQ0REDcstJ6mqqiokJiZi/vz5Vyyrrq7GgQMH8NJLL+HAgQNYtWoVsrOzMWTIkCvWnT17NgoLC+VpypQpt/cbEBFRg6W+1R/o378/+vfvf9Vlvr6+2LRpk828f//73+jatSvy8/MRGRkpz/f29kZISMitbp6IiBoRuz+TKisrgyAI8PPzs5k/d+5cBAYGomPHjpg3bx5MJtM1v0Ov16O8vNxmIiKihu+WS1K3ora2FjNmzMDo0aPh4+Mjz586dSo6deqEgIAA7Nq1CzNnzkRhYSHefffdq37PnDlzMGvWLHuGSkRECmS3JGU0GjFy5EhIkoQFCxbYLJs+fbr8//bt20Or1eKJJ57AnDlzoNPprviumTNn2vxMeXk5IiIi7BU6EREphF2SlDVBnT59Gr/88otNKepqkpOTYTKZcOrUKcTGxl6xXKfTXTV5ERFRw1bvScqaoHJycrB161YEBgbe8GcyMzMhiiKCgoLqOxwiInJht5ykKisrkZubK3/Oy8tDZmYmAgICEBoaihEjRuDAgQNYt24dzGYzioqKAAABAQHQarXYvXs39u7diz59+sDb2xu7d+/GtGnT8PDDD8Pf37/+fjMiInJ5t5yk9u/fjz59+sifrc+Kxo8fj1dffRU//vgjAKBDhw42P7d161b07t0bOp0O33zzDV599VXo9XrExMRg2rRpNs+ciIiIgNtIUr1794YkSddcfr1lANCpUyfs2bPnVjdLRESNEPvuIyIixWKSIiIixWKSIiIixWKSIiIixWKSIiIixbJr331EDZkgCDAYDCgpKblhq1alEAQBgYGB0Gq1LhMzNW5MUkQ3YB2YU5IkSJIEURQhiiJ0Oh0OHTqEtLQ06PV6Z4d5U9zc3PDpp5+ia9eu0Ov1sFgssFgsV/yORErBJEV0A4IgQBRF5ObmysPEqFQq6HQ6HD58GDk5OTAYDE6O8uZYY9bpdNDr9TCbzQAujwXXokULWCwWJilSFCYpohvQarUAgNdff91mUE9BEGA0Gl0mQQGXx2Z75plnoNFobJJR37598dVXX0GSJNTW1joxQiJbTFJEdQiCIP978uRJHD9+XE5SJ0+exKVLl5wZXr2oqKi4Yt6JEyewfv16SJIEg8GAuLg4xMTEyMtZuiJnYZIiqkMQBKhUKqhUKvz888948cUX5WXWqrGGKCMjAyNGjJA//+///i8mTZokf2aSImdhkiL6i9zcXGzduhW//vorTCaTs8NxCEmSbH7XX3/9FVqtFikpKTYlKiJHY5Ii+ouDBw9i2rRpsFgszg7FadauXYuffvoJX3zxBZMUORWTFNH/l5+fjy+++AKHDx9m9RYul66WLVuGrKwsjBs3DpGRkc4OiRohJimi/6+oqAgLFy5EZWWls0NRBEmS8PPPP2Pnzp1ITU1lkiKnYLdI1KhZ34Fyd3eHm5ubs8NRJEEQoNVq4e7uDlEU5RaQRI7AJEWNmvWCW1NTw/eDrsHaLL2mpgYAmKTIoVjdR42axWJBcXExnn32WZw4cQLV1dXODklxqqurMXXqVLRo0QLvvPMOgoKCnB0SNSJMUtTo6fV6HDx4EAUFBc4ORZHMZjOOHDmCiooKljbJ4VjdR42aWq2GWs17tZul0Wi4v8ihmKSIiEixmKSoUbMOVUE3h/uLHI1Jiho1lUoFtVrNFms3QRAEqNVqqFQqZ4dCjQiTFDVa1vd/tFotk9RN4P4iZ+ATUGq09Ho9vv/+e2RnZ6OsrMzZ4SheWVkZFi5ciLi4OAwaNAgajcbZIVEjwCRFjVZtbS3mz5+P/fv3OzsUl3Dp0iXMnTsXSUlJuO+++5ikyCFY3UdERIrFJEVERIrFJEVERIrFJEVERIrFJEVERIrFJEVERIrFJEVERIrFJEVERIrFJEVERIp1y0kqPT0dgwcPRlhYGARBwOrVq22WP/rooxAEwWZKTU21WefixYsYO3YsfHx84OfnhwkTJqCysvKOfhEiImp4bjlJVVVVITExEfPnz7/mOqmpqSgsLJSn5cuX2ywfO3Ysjhw5gk2bNmHdunVIT09HWlrarUdPREQN2i333de/f3/079//uuvodDqEhIRcddmxY8ewYcMG/Pbbb0hKSgIAfPTRRxgwYADefvtthIWF3WpIRETUQNnlmdS2bdsQFBSE2NhYPPXUUygpKZGX7d69G35+fnKCAoCUlBSIooi9e/de9fv0ej3Ky8ttJiIiavjqPUmlpqbiyy+/xJYtW/Dmm29i+/bt6N+/P8xmMwCgqKgIQUFBNj+jVqsREBCAoqKiq37nnDlz4OvrK08RERH1HTYRESlQvQ/VMWrUKPn/CQkJaN++PVq0aIFt27bh3nvvva3vnDlzJqZPny5/Li8vZ6IiImoE7N4EvXnz5mjSpAlyc3MBACEhITh//rzNOiaTCRcvXrzmcyydTgcfHx+biYiIGj67J6kzZ86gpKQEoaGhAIDu3bujtLQUGRkZ8jq//PILLBYLkpOT7R0OERG5kFuu7qusrJRLRQCQl5eHzMxMBAQEICAgALNmzcLw4cMREhKCEydO4LnnnkPLli3Rr18/AECbNm2QmpqKiRMnYuHChTAajZg8eTJGjRrFln1ERGTjlktS+/fvR8eOHdGxY0cAwPTp09GxY0e8/PLLUKlUyMrKwpAhQ9C6dWtMmDABnTt3xo4dO6DT6eTvWLp0KeLi4nDvvfdiwIAB6NmzJz799NP6+62IiKhBuOWSVO/evSFJ0jWXb9y48YbfERAQgGXLlt3qpomIqJFh331ERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFJERKRYTFIu7Hq90RORMkmSJE90Y0xSLooHOpFrkiQJFovF2WG4DCYpFyUIAkRRhCAIzg6FiG6BIAhQqVQ8d28Sk5SL4oFO5Jp47t4aJikXdeTIETz99NP4/vvvIQgCD3gihbOep9999x2efvppHDlyxNkhuQQmKReVn5+PxYsXY9euXUxQRC5CEATs3LkTixcvRkFBgbPDcQlqZwdAd4YNKIhcg/U8ZaOJW8OSFBGRg1gbPNHNY0nKxanVanh6esJoNMJoNLJURaQw1mdRGo0GGo0GajUvu7eCe8vFlZaW4o8//oCfnx98fHxgNpudHRIR/YUoirh06RIuXbqE0tJSZ4fjUljudHFr1qxBnz598N1330GtVrMRBZHCCIIAtVqNb7/9Fvfccw9+/PFHZ4fkUliScnHV1dWorq5GVlYWtm/fjlatWiEwMJBVfkQKIAgC/vzzT+Tk5CArKwtFRUXODsnlsCTVQCxevBjDhg1jk3QiBREEAb/++iuGDRuGL774wtnhuCSWpBoIk8kEs9mMbdu2oaamBikpKTYlKpasbDGR3xlrYwAeV7asx5UgCLhw4QK2bNmCPXv2oKamhvvqNjFJNSCSJOGzzz7DihUr8NNPPyE0NBQGg0FeRv9l7ZqGbp21z0gmqStZk5RWq0VBQQGmTZuGiooKJ0fl2pikGqDa2losWrQIe/bswfjx4+Hj4wO9Xg/gvycRLy50J/iuz2V/PZ80Gg3Ky8uxYMECHD16VD7v6PYxSTVABoMBS5YsQVRUFEaMGAF/f39IksS73zr4PhnVl7rnlEqlQmVlJf79738jPz/fyZE1DExSDdiFCxcwffp0eHp6wmQyITk5GX//+98hSRLMZjPMZrNN8gIa5sVbFEX597KWAD799FPs3r0beXl5To7O9Zw8eRJTpkxBt27dMGHCBPkibT2OGlq3P1c7P6zVxdbezOfPn499+/ZBrVajqqoKJSUlTo664WCSasCqqqrwww8/yJ+NRiMef/xxSJIEo9EIs9kMi8VyRdVNQ7vI1E1S1nfJ0tPTsWbNGmeH5pIuXLiAb7/9Fnq9HmPGjGnwSepq54coilCpVNBoNBAEATt27LA516j+CJIL3jaXl5fD19fX2WG4nKZNm6JNmzYA/puIrBeXulzwkLimur9b3d/1+PHjuHDhgrPCahCaNGmC2NhYmyRl1VCPIcD2OLImsGPHjuHPP/90eGwNQVlZGXx8fK65nEmKiIic5kZJik10iIhIsW45SaWnp2Pw4MEICwuDIAhYvXq1zXJrvfRfp3nz5snrREdHX7F87ty5d/zLEBFRw3LLSaqqqgqJiYmYP3/+VZcXFhbaTJ9//jkEQcDw4cNt1ps9e7bNelOmTLm934CIiBqsW27d179/f/Tv3/+ay0NCQmw+W3vpbt68uc18b2/vK9YlIiKqy67PpIqLi/HTTz9hwoQJVyybO3cuAgMD0bFjR8ybNw8mk+ma36PX61FeXm4zERFRw2fX96S++OILeHt744EHHrCZP3XqVHTq1AkBAQHYtWsXZs6cicLCQrz77rtX/Z45c+Zg1qxZ9gyViIiUSLoDAKQffvjhmstjY2OlyZMn3/B7Fi1aJKnVaqm2tvaqy2tra6WysjJ5KigokABw4sSJEycXn8rKyq6bH+xWktqxYweys7OxYsWKG66bnJwMk8mEU6dOITY29orlOp0OOp3OHmESEZGC2e2Z1KJFi9C5c2ckJibecN3MzEyIooigoCB7hUNERC7olktSlZWVyM3NlT/n5eUhMzMTAQEBiIyMBHC5R4iVK1finXfeueLnd+/ejb1796JPnz7w9vbG7t27MW3aNDz88MPw9/e/g1+FiIganBs+MPqLrVu3XrVecfz48fI6n3zyieTu7i6VlpZe8fMZGRlScnKy5OvrK7m5uUlt2rSR3njjjWs+j7qasrIyp9ejcuLEiROnO59u9EyKffcREZHTsO8+IiJyWUxSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWExSRESkWC6ZpCRJcnYIRERUD250PXfJJFVRUeHsEIiIqB7c6HouSC5YLLFYLMjOzkbbtm1RUFAAHx8fZ4d008rLyxEREcG4HchVY2fcjsW4HUuSJFRUVCAsLAyieO3yktqBMdUbURTRrFkzAICPj49L/WGsGLfjuWrsjNuxGLfj+Pr63nAdl6zuIyKixoFJioiIFMtlk5ROp8Mrr7wCnU7n7FBuCeN2PFeNnXE7FuNWJpdsOEFERI2Dy5akiIio4WOSIiIixWKSIiIixWKSIiIixWKSIiIixXLZJDV//nxER0fDzc0NycnJ2Ldvn7NDks2ZMwddunSBt7c3goKCcP/99yM7O9tmnd69e0MQBJvpySefdFLE//Xqq69eEVdcXJy8vLa2FpMmTUJgYCC8vLwwfPhwFBcXOzHiy6Kjo6+IWxAETJo0CYBy9nd6ejoGDx6MsLAwCIKA1atX2yyXJAkvv/wyQkND4e7ujpSUFOTk5Nisc/HiRYwdOxY+Pj7w8/PDhAkTUFlZ6bS4jUYjZsyYgYSEBHh6eiIsLAzjxo3DuXPnbL7jan+juXPn2jXuG8UOAI8++ugVcaWmptqso7R9DuCqx7sgCJg3b568jrP2eX1yySS1YsUKTJ8+Ha+88goOHDiAxMRE9OvXD+fPn3d2aACA7du3Y9KkSdizZw82bdoEo9GIvn37oqqqyma9iRMnorCwUJ7eeustJ0Vsq127djZx7dy5U142bdo0rF27FitXrsT27dtx7tw5PPDAA06M9rLffvvNJuZNmzYBAB588EF5HSXs76qqKiQmJmL+/PlXXf7WW2/hww8/xMKFC7F37154enqiX79+qK2tldcZO3Ysjhw5gk2bNmHdunVIT09HWlqa0+Kurq7GgQMH8NJLL+HAgQNYtWoVsrOzMWTIkCvWnT17ts3fYMqUKXaN+0axW6WmptrEtXz5cpvlStvnAGziLSwsxOeffw5BEDB8+HCb9Zyxz+uV5IK6du0qTZo0Sf5sNpulsLAwac6cOU6M6trOnz8vAZC2b98uz/uf//kf6R//+IfzgrqGV155RUpMTLzqstLSUkmj0UgrV66U5x07dkwCIO3evdtBEd6cf/zjH1KLFi0ki8UiSZIy9zcA6YcffpA/WywWKSQkRJo3b548r7S0VNLpdNLy5cslSZKko0ePSgCk3377TV7n559/lgRBkM6ePeuUuK9m3759EgDp9OnT8ryoqCjpvffes29wN3C12MePHy8NHTr0mj/jKvt86NCh0j333GMzTwn7/E65XEnKYDAgIyMDKSkp8jxRFJGSkoLdu3c7MbJrKysrAwAEBATYzF+6dCmaNGmC+Ph4zJw5E9XV1c4I7wo5OTkICwtD8+bNMXbsWOTn5wMAMjIyYDQabfZ9XFwcIiMjFbXvDQYDvv76a/ztb3+DIAjyfKXub6u8vDwUFRXZ7F9fX18kJyfL+3f37t3w8/NDUlKSvE5KSgpEUcTevXsdHvO1lJWVQRAE+Pn52cyfO3cuAgMD0bFjR8ybNw8mk8k5Af7Ftm3bEBQUhNjYWDz11FMoKSmRl7nCPi8uLsZPP/2ECRMmXLFMqfv8ZrlcL+gXLlyA2WxGcHCwzfzg4GAcP37cSVFdm8ViwdNPP40ePXogPj5enj9mzBhERUUhLCwMWVlZmDFjBrKzs7Fq1SonRgskJydjyZIliI2NRWFhIWbNmoVevXrh8OHDKCoqglarveLCExwcjKKiIucEfBWrV69GaWkpHn30UXmeUvd3XdZ9eLVj27qsqKgIQUFBNsvVajUCAgIU8zeora3FjBkzMHr0aJteuadOnYpOnTohICAAu3btwsyZM1FYWIh3333XidFerup74IEHEBMTgxMnTuBf//oX+vfvj927d0OlUrnEPv/iiy/g7e19RdW7Uvf5rXC5JOVqJk2ahMOHD9s81wFgU5+dkJCA0NBQ3HvvvThx4gRatGjh6DBl/fv3l//fvn17JCcnIyoqCt9++y3c3d2dFtetWLRoEfr374+wsDB5nlL3d0NjNBoxcuRISJKEBQsW2CybPn26/P/27dtDq9XiiSeewJw5c5za79yoUaPk/yckJKB9+/Zo0aIFtm3bhnvvvddpcd2Kzz//HGPHjoWbm5vNfKXu81vhctV9TZo0gUqluqJFWXFxMUJCQpwU1dVNnjwZ69atw9atWxEeHn7ddZOTkwEAubm5jgjtpvn5+aF169bIzc1FSEgIDAYDSktLbdZR0r4/ffo0Nm/ejMcff/y66ylxf1v34fWO7ZCQkCsaCJlMJly8eNHpfwNrgjp9+jQ2bdp0w7GNkpOTYTKZcOrUKccEeJOaN2+OJk2ayMeGkvc5AOzYsQPZ2dk3POYB5e7z63G5JKXVatG5c2ds2bJFnmexWLBlyxZ0797diZH9lyRJmDx5Mn744Qf88ssviImJueHPZGZmAgBCQ0PtHN2tqaysxIkTJxAaGorOnTtDo9HY7Pvs7Gzk5+crZt8vXrwYQUFBGDhw4HXXU+L+jomJQUhIiM3+LS8vx969e+X92717d5SWliIjI0Ne55dffoHFYpETrzNYE1ROTg42b96MwMDAG/5MZmYmRFG8oirN2c6cOYOSkhL52FDqPrdatGgROnfujMTExBuuq9R9fl3ObrlxO7755htJp9NJS5YskY4ePSqlpaVJfn5+UlFRkbNDkyRJkp566inJ19dX2rZtm1RYWChP1dXVkiRJUm5urjR79mxp//79Ul5enrRmzRqpefPm0t133+3kyCXpmWeekbZt2ybl5eVJv/76q5SSkiI1adJEOn/+vCRJkvTkk09KkZGR0i+//CLt379f6t69u9S9e3cnR32Z2WyWIiMjpRkzZtjMV9L+rqiokA4ePCgdPHhQAiC9++670sGDB+VWcHPnzpX8/PykNWvWSFlZWdLQoUOlmJgYqaamRv6O1NRUqWPHjtLevXulnTt3Sq1atZJGjx7ttLgNBoM0ZMgQKTw8XMrMzLQ55vV6vSRJkrRr1y7pvffekzIzM6UTJ05IX3/9tdS0aVNp3Lhxdo37RrFXVFRIzz77rLR7924pLy9P2rx5s9SpUyepVatWUm1trfwdStvnVmVlZZKHh4e0YMGCK37emfu8PrlkkpIkSfroo4+kyMhISavVSl27dpX27Nnj7JBkAK46LV68WJIkScrPz5fuvvtuKSAgQNLpdFLLli2lf/7zn1JZWZlzA5ck6aGHHpJCQ0MlrVYrNWvWTHrooYek3NxceXlNTY3097//XfL395c8PDykYcOGSYWFhU6M+L82btwoAZCys7Nt5itpf2/duvWqx8b48eMlSbrcDP2ll16SgoODJZ1OJ917771X/D4lJSXS6NGjJS8vL8nHx0d67LHHpIqKCqfFnZeXd81jfuvWrZIkSVJGRoaUnJws+fr6Sm5ublKbNm2kN954wyYROCP26upqqW/fvlLTpk0ljUYjRUVFSRMnTrzihldp+9zqk08+kdzd3aXS0tIrft6Z+7w+cTwpIiJSLJd7JkVERI0HkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESkWkxQRESnW/wPhXqEyk6YmqgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(img3,cmap='gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e42a8872-421c-4bab-a0bc-5e55fa81cf77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "40e93a48-b8f1-465d-ad46-24417a785810",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img3.ndim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a413f47-6ac4-4384-a7fe-7a75b19535e8",
   "metadata": {},
   "source": [
    "## 图片显示函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "0fe67f44-9868-4bde-8df6-2bc8a8bcccaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "def show(img):\n",
    "    if img.ndim == 2:\n",
    "        #灰度图\n",
    "        plt.imshow(img,cmap='gray')\n",
    "    else:\n",
    "        plt.imshow(cv.cvtColor(img,cv.COLOR_BGR2RGB))\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2c135934-00b7-4887-a9cc-1ba4f617abdb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "c483e2e7-a685-493b-9802-386899b5cebe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show(img3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c2a9eeae-0bf3-4510-9dc7-6d16df36a46f",
   "metadata": {},
   "source": [
    "## 简单绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6ec2ee5-efc2-4c94-b83c-4513393970ab",
   "metadata": {},
   "source": [
    "### 折线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "55182104-e693-4757-a0a5-a907ec141271",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.arange(2,20)\n",
    "y = 2 * x + np.random.randint(5,20,18)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3e17f16c-895a-4dac-963b-ac2516c395e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "92b8257f-b9a3-4aee-a0bc-8014c2ed4229",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0,1,1000)\n",
    "y1 = np.power(x,1.5)\n",
    "y2 = np.sqrt(x)\n",
    "y3 = x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "4fadf8b1-46c3-4779-b62d-e222ee812164",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Ysv08AOEvBNHRSvcPuxdShIQQQoj7lZMK0SvUAnT13M3jgW2h+SCo8wT8x1mW4pJvzid8bzjfnvwWgMblGjO73WwquN3dZtvLd11gzp8nARj/ZD26NbGOYvegtD03Jwrd/PnzCQwMxMnJidDQUPbs2XPHz126dCk6ne6W/5ycbr9YlhBCiGsUBS5Fwc+vw9y68NdYtQQ5ekDoa/DmHnj5d3ULDCspQRcyLtBnbZ8bJWhAgwEsfnTxXZegX6LjGPeLun/YkI41GNDGuvcPuxdyRqgUWbVqFUOHDmXBggWEhoYyb948unTpwsmTJ/H1vf3pSw8PD06ePHnjdklYDl0IITRRkKNue7F30a3bXpRvqJ79afgCOLhqFu9O/jj3B5N2TiLbmE1Zx7JMazONtpXa3vX9N51I5P3vDqIo0LdlFd5/xPr3D7sXUoRKkblz5zJ48GD69+8PwIIFC1izZg2LFy9m5MiRt72PTqejfPnyxRlTCCFKFLe8ePTrx8Chb29e+m5whPrPqAWoUrNiXfjwbuWZ8pi1dxY/nPoBgGDfYGa3m42f691fqbbnXCqvL9+PyaLQrXFFJnatX+r+wSxF6L8oChhztHlue5e7/uEqKCggKiqKUaNG3Tim1+vp1KkTO3fuvOP9srKyqFKlChaLheDgYKZPn079+vUfOLoQQpRoZhOcXIthz5c8fD7y5nHPKtB8oLrwYTFue3GvzqafJSwijNNXT6NDx+BGg3k96HXs9Hf/tn8kLp2BS/eSb7LwcB1f5rwQhL6E7B92L6QI/RdjDkyvqM1zj75816dZU1JSMJvN+Pnd2vT9/Pw4ceLEbe9Tu3ZtFi9eTKNGjUhPTyc8PJxWrVpx9OhRKlX693UkhBCiVMpMuHbp+1LIjEcPKOhQaj6CPuQVq7j0/b/8duY3puyaQq4pFy8nL2a0nUGriq3u6THOJGfRb/EeMvNNhFb1Yn6vYOwN1v33vl9ShGxYy5Ytadmy5Y3brVq1om7dunz++edMmTJFw2RCCFGMFAUu7oE9n8OxX8BiUo+7+GBu3IeN6QF07NYXvb11THy+kxxjDjP2zGB1zGoAQsqHMLPtTMq53NuWHXFpufRZuJsr1zZRXdivGU72JWcT1XslRei/2LuoZ2a0eu675OPjg8FgIDEx8ZbjiYmJdz0HyN7eniZNmhATE3NPMYUQokQy5sKRH2H355Bw6ObxgBYQMhjqdsWi6Mldu1a7jHcp5moMYRFhnEk/g16n57Wg13il4SsY9PdWYFKy8umzcDeX0/OoXk7dRNXdyboL4IOSIvRfdDqrvArg/3NwcKBp06Zs3LiRbt26AWCxWNi4cSNDhgy5q8cwm80cPnyYxx9/vAiTCiGExtJi1Su/9i+D3FT1mJ0TNHweQl6BCkE3P9do1CbjXVIUhdUxq5m+ezp55jzKOZdjVrtZNC/f/J4fKyPPSL/Fezibko2/pzNfDwwtkZuo3ispQqXI0KFD6devH82aNSMkJIR58+aRnZ194yqyvn374u/vz4wZMwCYPHkyLVq0oEaNGqSlpTFnzhwuXLjAoEGDtPxrCCFE4VMUOBcJe76Ak2tvrvxcprI6+Tm4L7iUrK0icow5TNk1hd/P/g5Aq4qtmN5mOt7O9z6JO7fAzMClezl6OQMfNweWDwqloqdzYUe2SlKESpHu3buTnJzM+PHjSUhIoHHjxqxbt+7GBOrY2Fj0f5vkd/XqVQYPHkxCQgJly5aladOm7Nixg3r16mn1VxBCiMKVn6Ve9r7nS0j+24UjVdtD6KtQ61G4x+Eja3Ay9SRhEWGczziPQWdgSJMhDGgwAL3u3ic0F5gsvL4iir3nr+LuZMeyAaFU9bH+kZDCIkWolBkyZMgdh8K2bNlyy+0PP/yQDz/8sBhSCSFEMbtyRi0/0SsgP0M9Zu8KjXtA88HgW0fbfPdJURS+P/U9s/bMosBSgK+LL3PazSHYL/i+Hs9sURj6XfSNneSXvNycehU9Cjm1dZMiJIQQonSwWCBmg3r1V8yGm8e9qquTnxv3BKcy2uV7QFkFWUzaOYl159cB0Na/LdPaTKOsU9n7ejxFURj3yxF+PxSPvUHHgt5NaRZYsoYHC4MUISGEECVbbpp65mfPl3/b+FQHNR9RJz+XgLV//suxK8cYFjGM2MxY7HR2vBP8Dn3r972vobDrZv95kpW7Y9Hp4MPujelQCnaSvx9ShIQQQpRMSSfUsz8Hv725A4BjGWjSW50A7V1d23yFQFEUvjnxDeH7wjFajFRwrcDsdrNp7Nv4gR53QcQZPttyBoDpzzTkyUYaLRxsBaQICSGEKDksFjizEXZ9Cmc23TzuW08d/mrUvUQseXI3MgoymLB9Ahti1WG+DgEdmNp6KmUcH2x475s9scz8Q504PvKxOvQIqfzAWUsyKUJCCCGsX34WHPwGdi+AK9cXfdVBnScg9DUIbGOVG5/er8PJhxkWOYy4rDjs9Ha83/R9etXt9cAbnv5+6DKjfz4MwOsdqvNa+5J/1uxBSRESQghhvdJi1bV/opZB/rWd3x091HV/QgZD2UBN4xU2RVH4+tjXfLj/Q0wWE/5u/oS3D6eBT4MHfuzNJ5N4b1U0igK9QiszvEvtQkhc8kkREkIIYV0UBWJ3qcNfJ36/ufihVzX17E/jnuDorm3GIpCen87Y7WPZcnELAJ2rdGZiq4l4ODz45ew7z1zhta+jMJoVugZVZPLTDR747FJpIUVICCGEdTDlw9Gf1QIUf/Dm8WodIPR19SqwEn71151EJ0UzLHIYCdkJ2OvtGd58ON1rdy+UsnIg9iqDvtpLvsnCw3V8mftiEAa9lKDrpAgJIYTQVlYy7FsM+xZB1rWNo+2c1InPoa+BX+ld7d6iWFh6dCkf7f8Is2KmsntlwtuHU9e7bqE8/vH4DF5espfsAjOtqnszv1cw9obSWSbvlxQhIYQQ2og/pE5+Pvw9mAvUY+4VoPkgaNofXO99z6yS5GreVUZvG822uG0APBb4GONbjsfNwa1QHv9MchZ9Fu0mPddIcGVPvuzbDCf7kredSFGTWlhKREZG0rVrVypWrIhOp2P16tX/eZ8tW7YQHByMo6MjNWrUYOnSpUWeUwhh4yxmOP47LH0SPm+rLoRoLgD/pvDcInj3MLQLK/UlKCoxiud/e55tcdtwNDgyoeUEZrWbVWgl6GJqDr0X7iYlq4B6FTxY0j8EV0c593E78lUpJbKzswkKCmLAgAE8++yz//n5586d44knnuC1115jxYoVbNy4kUGDBlGhQgW6dOlSDImFEDYlPwsOLIfdn8HV8+oxnQHqPQ0t3oCA5prGKy4WxcLCwwuZHz0fi2Ih0COQ8Pbh1PYqvCu4kjLy6L1oN/HpedTwdePrgSGUcbYvtMcvbaQIlRKPPfYYjz322F1//oIFC6hatSoffPABAHXr1mXbtm18+OGHUoSEEIUnPU5d/Xnf0puXvzuXhaYvq0NgZSppma5YpeSmMHrraHbG7wSga7WujG0xFhd7l0J7jtTsAnot3M2FKzkEeDmzfGAo3m6Ohfb4pZEUof+gKAq5plxNntvZzrnILm/cuXMnnTp1uuVYly5dePfdd4vk+YQQNib+EOz8BI78CBaTesyrOrR8E4J6gEPhvfmXBLvjdzNy60hSclNwMjgxOnQ03Wp0K9Tf8Rl5Rvou3s3ppCzKezixclALypdxKrTHL62kCP2HXFMuoStDNXnu3T13F+q/FP4uISEBPz+/W475+fmRkZFBbm4uzs7ORfK8QohSzGKBmPWw42M4v/Xm8Spt1AJU69FSe/n7nZgtZj4/9DkLDi5AQaF6mep80OEDqnsW7orOOQUmBizZy5G4DLxdHVg+KJQAL9sqm/dLipAQQogHY8yFQ6tg53xIOaUe0xmg/jNqAfIP1jafRpJzkhm5dSR7EvYA8EyNZxgVOgpnu8L9h2ae0cwry6LYd+EqHk52LBsYQg3fwpl0bQukCP0HZztndvfcrdlzF5Xy5cuTmJh4y7HExEQ8PDzkbJAQ4u5kJcPehep/OSnqMUcPaNoPQl4FzwBt82lox+UdjNo6itS8VJztnBnXYhxdq3ct9Ocxmi0MWXmAbTEpuDgYWDoghPoVH2xTVlsjReg/6HS6Ihue0lLLli1Zu3btLcfWr19Py5YtNUokhCgxkk+q838OrgJzvnqsTGVo8Ro06QNOD74lREllspj4NPpTFh5eiIJCrbK1CG8fTtUyVQv9ucwWhfe/O8iG44k42ulZ2K8ZwZXLFvrzlHZShEqJrKwsYmJibtw+d+4c0dHReHl5UblyZUaNGkVcXBzLli0D4LXXXuOTTz5h+PDhDBgwgE2bNvHdd9+xZs0arf4KQghrpihwLlItQKf/unncvym0HAJ1nwKDbb+lJGQnMCJyBPuT9gPwQq0XGN58OE52hT9hWVEUxvx8mF8PXsZOr+Oz3sG0qu5T6M9jC2z7u7YU2bdvHx07drxxe+jQoQD069ePpUuXEh8fT2xs7I0/r1q1KmvWrOG9997jf//7H5UqVWLhwoVy6bwQ4lamAjj6k1qAEg5fO6iDOk+oBahyC5DNO4m8FMmYbWNIy0/D1d6ViS0n8mjVR4vkuRRFYeqa43y79yJ6HfzvpSY8VMfvv+8obkuKUCnRoUMHFEW545/fbtXoDh06cODAgSJMJYQosfIzIeordQPUjDj1mL0LNO4FLV4H78K96qmkMlqMfLz/Y5YcXQJAXa+6hLcPp7JH5SJ7zg83nGbRtnMAzHquEU80qlBkz2ULpAgJIYS4KTNR3f9r76KbCyC6+UHoq+r+Xy5e2uazIvFZ8QyLHMbB5IMA9KjTg7BmYTgYHIrsOT+POMNHG08DMOmp+rzQzHYnpBcWKUJCCCEg5bS6/s/Bb25ugOpdE1q/re4CbyerE//d5tjNjN0+loyCDNzt3ZnUehKdq3Qu0udcvusCM/44AcCwLrXp1yqwSJ/PVkgREkIIW3ZxL2yfByfWANeG1wNCofU7UOsxm1sA8b8YzUbmRs1l+fHlADTwbsCc9nOo5F60W4V8t+8iY1cfAeCNDtV5s2ONIn0+W6L5d/j8+fMJDAzEycmJ0NBQ9uzZ86+fP2/ePGrXro2zszMBAQG899575OXlFVNaIYQoBSwWOLkOFj8GizrBid8BBWo/DgP+hIF/qZOhpQTd4lLmJfr+0fdGCepTrw/LHltW5CXol+g4Rvx4CID+rQMZ1qXwNmgVGp8RWrVqFUOHDmXBggWEhoYyb948unTpwsmTJ/H19f3H569cuZKRI0eyePFiWrVqxalTp3j55ZfR6XTMnTu30HL926RjWyZfFyFKOFMBHP4ednwEyeoQC3p7COoOrd6GcvIGeycbL25k8q7JZBoz8XDwYGrrqXSs3PG/7/iA/jgcz9DvDqIo0Cu0MuOfrFdke1DaKk2L0Ny5cxk8eDD9+/cH1B3R16xZw+LFixk5cuQ/Pn/Hjh20bt2anj17AhAYGEiPHj3YvbtwVn62t7cHICcnR1ZXvo2cnBzg5tdJCFFC5GVA1FL1CrDMePWYowc06w+hr4OHXHV0J/nmfH7P+Z1dW3cBEFQuiDnt5lDBrei/ZhuPJ/LWNwcwWxSeb1qJKU83kBJUBDQrQgUFBURFRTFq1Kgbx/R6PZ06dWLnzp23vU+rVq1Yvnw5e/bsISQkhLNnz7J27Vr69Olzx+fJz88nPz//xu2MjAwAjEYjRqPxH5/v7u5OYmIiFosFFxcX+aZDPROUk5NDcnIyHh4eWCwWLBbLAz/u9a//7V4HUfzk9bAehfZaZMaj3/sl+v1L0OVnAqC4lccS8iqWJv1urgAtr/ltxWbGMmLrCE4WnASgX91+vBH0BvZ6+yL/Odkak8Jryw9gsig80bA8U5+qi9lswmwu0qe1akX1NdesCKWkpGA2m2+7A/qJEydue5+ePXuSkpJCmzZtUBQFk8nEa6+9xujRo+/4PDNmzGDSpEn/OL5582ZcXG6/dYa7uzvZ2dnoZXz8BovFQmZmJqdPny70x16/fn2hP6a4f/J6WI/7fS1c8+KpmbSWSqnbMSgmADKdKhLj+ziXyrbEctUeNm0rzKilzuGCw6zOWU0++bjoXHjO5TlqxtdkfXzR/3ycTtfx+Qk9RouORl4WHna5xJ/rLhX581q766MSha1EXTW2ZcsWpk+fzqeffkpoaCgxMTG88847TJkyhXHjxt32PqNGjbqxyjKoZ4QCAgLo2LEj3t7ed3wus9mMyWSSeTGo+63Z2dlhMBgK9XGNRiPr16+nc+fOMtxmBeT1sB73/VokHMawYx6647+iu3YFmCWgBZYWQ3Cq+QgNdHoaFFHm0iLPlMcH+z/gx5gfAWjs05jOBZ15vsvzxfJzsT82jVFfRWG0mOlQy4f5PRrjYCf/KAe4cuVKkTyuZkXIx8cHg8Fw2x3Qy5cvf9v7jBs3jj59+jBo0CAAGjZsSHZ2Nq+88gpjxoy57RkcR0dHHB3/uf6Fvb39v35TyxtB8fmv10IUL3k9rMddvxYXdsDWuRDzt7MVtR6FNkPRVw7V/vLgEuJc+jnCIsI4dfUUOnQMajiIwfUH89e6v4rl5+LQpTQGLdtPToGZNjV8WNCnGU72hfsP0JKsqL7+mhUhBwcHmjZtysaNG+nWrRugDr9s3LiRIUOG3PY+OTk5/yg7189SyJkbIYRNURQ4vR62zYXYa/MqdXpo8By0eQ/86mubr4T57cxvTNk1hVxTLl5OXsxoO4NWFVsV25y5Y5cz6LNoD5n5JkKqevFlXylBxUXTobGhQ4fSr18/mjVrRkhICPPmzSM7O/vGVWR9+/bF39+fGTNmANC1a1fmzp1LkyZNbgyNjRs3jq5duxb6sI0QQlglixmOrYatH0LitU1QDQ7qHmCt3wavaprGK2lyTblM3z2d1TGrAQgpH8LMtjMp51Ku2DKcTsyk96LdpOcaCa7syeKXm+PsIO9pxUXTItS9e3eSk5MZP348CQkJNG7cmHXr1t2YQB0bG3vLGaCxY8ei0+kYO3YscXFxlCtXjq5duzJt2jSt/gpCCFE8TAVw6FvYNg9Sz6jH7F2h+QBo8aZcAn8fYq7GEBYRxpn0M+jQ8XrQ67zS6BUM+uIrIedSsum5cDep2QU09C/D0gEhuDmWqOm7JZ7mX+0hQ4bccShsy5Ytt9y2s7NjwoQJTJgwoRiSCSGEFSjIVtcA2vEJZF5WjzmXVdf/CRksm6DeB0VRWB2zmum7p5NnzsPH2YdZbWcRUiGkWHNcTM2h55e7SM7Mp055d5YNCMHDSebnFTfNi5AQQoh/sjdlod86B/Z+Cbmp6kH3CtDqLQjuB45u2gYsoXKMOUzdNZXfzv4GQMsKLZnedjo+zj7FmuNyWi49vtxFfHoeNXzdWD4olLKuRbdrvbgzKUJCCGFNMhPQb/+YR44uxGC5to+iVzVo/S4EvSS7wD+Ak6knCYsI43zGefQ6PUMaD2Fgw4HodcV7XV1SRh49v9zFpau5BHq7sHJQKD5u8rpqRYqQEEJYg/RLsP1/EPUVBrO6Gr7iWx9du/ehXjcoxnkrpY2iKPxw+gdm7ZlFvjkfXxdfZrebTVO/psWeJSUrn54Ld3P+Sg6VyjqzcnALfD2cij2HuEmKkBBCaOnqedj2IRxYARb1Um1LpRB2O7Sl2UsjsXeQ4ZIHkVWQxeSdk/nj/B8AtPFvw/Q20ynrVLbYs6TlFNB74W5ikrKoUMaJbwa3oKKn7GupNSlCQgihhStnYOsHcPBbUK5tIBXYFtoPx+zfgqQ//gDZ6/CBHL9ynLCIMGIzYzHoDLwT/A796vcr9qEwgPQcI30W7eFEQibl3B1ZMSiUAK/bb/MkipcUISGEKE5JJ2BrOBz5EZRrmxdXfwjaDYcqLdXbsgnqA1EUhW9PfsucvXMwWoxUcK3A7HazaezbWJM86blG+i7ezeG4dLxdHVgxKJRq5WSyu7WQIiSEEMUh4QhEzoFjv8C1fcCo9ahagCoV/1yV0iqjIIOJOyay/oK63UiHgA5MbT2VMo5lNMmTmWek3+I9HLyUTlkXe1YMDqWWn7smWcTtSRESQoiidPkARMyBk2tuHqvbFdoNgwpB2uUqhY6kHCEsIoy4rDjs9HYMbTqU3nV7o9NoiDEr38TLS/YSfTENTxd7VgxqQZ3yHppkEXcmRUgIIYrCxT0QMftvG6HqoMGz0DYM/OppGq20URSF5ceXMzdqLiaLCX83f8Lbh9PAp4FmmbLzTfRfsoeoC1fxcLJj+cBQ6lWUEmSNpAgJIURhOr9NLUDnItTbOgM0fAHavg/lammbrRRKz09n7PaxbLm4BYBOlTsxqfUkPBy0Kx05BSb6L93L3vNXcXeyY8WgFjTw12ZoTvw3KUJCCFEYzm+DzTPgwjb1tt4OgnpA26GyEWoRiU6KZnjkcOKz47HX2zOs+TBeqv2SZkNhALkFZgYu3ceec6m4O9rx9cBQGlaSEmTNpAgJIcSDOL8dtsyA81vV2wYHaNIH2rwLnpU1jVZaWRQLXx39io/2f4RJMRHgHkB4+3DqeWs75JhnNDN42T52nr2Cm6MdXw0MoXGAp6aZxH+TIiSEEPfjwk7YMh3ORaq3DQ4Q3BfaDIUy/tpmK8Wu5l1lzLYxbI1Ti+ejgY8yoeUE3By0vRz9egnaFpOCq4OBrwY0J7hy8S/aKO6dFCEhhLgXsbvUM0Bnt6i39fZqAWo7FMpU0jRaaReVGMXwyOEk5SThoHdgZOhInq/5vKZDYQD5JjOvLY9i6+kUXBwMLOkfQtMqXppmEndPipAQQtyNi3tg83Q4u1m9rbeHJr3VSdCeAdpmK+UsioVFhxcxP3o+ZsVMoEcg4e3Dqe1VW+to5JvMvL58P1tOJuNkr2fxy80JqSolqCSRIiSEEP/m0j61AJ3ZqN7W20HjXtAuTOYAFYMruVcYvW00Oy7vAODJak8yrsU4XOy1356iwGThzRUH2HQiCUc7PYv7NadFNW+tY4l7JEVICCFu51KUOgR2fR0gnQEa91QLUNlATaPZij3xexixdQQpuSk4GZwYHTqabjW6aT4UBmA0W3jrm/1sOJ6Io52eRf2a06qGj9axxH2QIiSEEH8XFwVbZsLpv9TbOgM07qEuhOhVVdtsNsJsMfPFoS9YcGgBFsVC9TLVCW8fTo2yNbSOBqgl6J1vD/Dn0UQc7PR82bcZbWpKCSqppAgJIQRA/CF1COzUH+ptnQGCXlLPAMk6QMUmOSeZUVtHsTthNwDdanRjVMgoqxgKAzCZLby3Kpq1hxNwMOj5vE9T2tUqp3Us8QCkCAkhbFvyKdg8DY6tVm/r9NCou7oXmHd1TaPZmh2XdzBq6yhS81JxtnNmXItxdK3eVetYN5gtCu9/f5DfD8Vjb9DxWe9gOtb21TqWeEBShIQQtunqedgyCw59C4oFdS+w56DDKPCxjiEYW2GymPg0+lMWHl6IgkLNsjUJbx9OtTLWcybObFEY9mM0v0Rfxk6vY37PYB6u66d1LFEIpAgJIWxLxmWInAP7l4HFpB6r/QQ8NAb86mubzQYlZicyPHI4+5P2A/BCrRcY3nw4TnZOGie7yazAsB8P89uhBOz0Oj7p2YRH6pfXOpYoJFKEhBC2ITsFtn0IexeCKU89Vv0heGgs+DfVNpuN2nppK2O2jeFq/lVc7V2Z0HICj1V9TOtYtzCZLSw/rWf/leslKJhHG0gJKk2kCAkhSrfcNNj5Cez6DAqy1GOVW8JD4yCwtabRbJXRYuTjAx+z5MgSAOp61WVO+zlU8aiicbJbmcwWwn48wv4renU4rFcwXeRMUKkjRUgIUTrlZ8HuBbDjI8hLV49VaKwWoBoPgxWsRWOL4rPiGR45nOjkaABeqv0SYc3DcDQ4ahvs/zGZLbyzKpo1hxMw6BQ+fqmxlKBSSoqQEKJ0MebBvsWwbS5kJ6vHytVV5wDVeVIKkIY2x25m7PaxZBRk4G7vzqTWk+hcpbPWsf7BaLbw7rfRrDmsXh32cg0znerK1WGllRQhIUTpYDZB9AqImAUZceqxslWh42j1ajC9Qdt8NsxoNvLh/g/5+tjXADTwbsDs9rMJcLe+PdquL5Z4fZ2gj3sEkXdmr9axRBGSIiSEKNkUBY7/ChunwJXT6jEPf2g/XN0TzGCvbT4bdynzEsMjh3M45TAAvev2ZmjTodhb4etiNFt4+5sD/HFELUEL+gTTtroXa89onUwUJSlCQoiS61wkbJiobosB4OylrgTdbCDYW8/l17Zqw4UNjN8+nkxjJu4O7kxtPZWHKj+kdazbKjCpe4f9eTTxxorRHev4YjQatY4mipgUISFEyRN/EDZMurkjvL0rtHwTWr0FTh7aZhMUmAsI3xfONye+AaBRuUbMaTeHim4VNU52ewUmC0NW7uevY+reYZ/3aSorRtsQKUJCiJIj9SxsmgZHflBv6+2gaX91GMxN3risQWxGLGERYRxPPQ5A/wb9eavJW9jrrW8oDNQS9ObK/ay/VoK+6NOUDlKCbIoUISGE9ctKgojZELXk5mrQDZ5XrwSTDVGtxrrz65i4YyLZxmw8HT2Z1mYa7Sq10zrWHeWbzLy5Yj8bjifd2EW+vWyganOkCAkhrFdeBuz4GHbOB2O2eqz6w9BpAlQI0jabuCHPlMfsvbP5/tT3AAT7BjOr3SzKu1rvujv5JjNvLN/PxhNJOF4rQbKLvG2SIiSEsD6mfNi7CLaGQ84V9Zh/U+g0Eapa7xkGW3Qu/RxhEWGcunoKHToGNRzEG43fwE5vvW8v+SYzry/fz6ZrJWhRv+a0qemjdSyhEev9ThVC2B6LBQ5/D5umQnqsesy7Jjw8Hup2lcUQrczvZ39n8s7J5Jpy8XLyYkabGbTyb6V1rH+VZzTz+vIoNp9MxsleLUGta0gJsmVShIQQ1uFsBKwfp14RBuBeETqMvLYWkPyqsia5plxm7pnJT6d/AqB5+ebMajuLci7WPbSUZzTz2vIotlwrQYv7NaeVlCCbJ79dhBDaSjoB68fD6T/V2w7u0PY9aPEG2Dtrm038w5m0M4RFhBGTFoMOHa8FvcarjV7FYOUrd+cWmHnl631sPZ2ilqCXm9OqupQgIUVICKGVzATYPB0OfA2KRb0UvtkAaD8CXOUNyhqtjlnNtF3TyDPn4ePsw8y2MwmtEKp1rP+UU2Bi4NJ97Dx7BRcHA4v6NadldW+tYwkrIUVICFG88rNg5yew/aObV4LVeRI6TQKfGtpmE7eVY8xh2u5p/HrmVwBaVGjBjLYz8HG2/sKamWdkwNK97D1/FTdHO5b2b06zQC+tYwkrIkVICFE8zCaIXq6eBcpKVI/5N4NHpkKVltpmE3d06uopwiLCOJd+Dr1Oz5uN32RQw0HodXqto/2n9Fwj/RbvIfpiGu5OdiwbEEKTymW1jiWsjBQhIUTRUhQ4vV6dB5SsrjZM2UD1Uvh63eRKMCulKAo/nv6RmXtmkm/Ox9fZl1ntZtGsfDOto92VtJwC+izaw+G4dDxd7Pl6QCgNK5XROpawQlKEhBBF53K0eiXYuUj1tpOnOgeo+UCwc9QymfgXWQVZTN45mT/O/wFAG/82TGszDS+nkjGkdCUrn96L9nA8PgMvVweWDwylXkXZg07cnhQhIUThy7gMGyfDQXXTTQwOEPoqtH0fnGVowpodv3KcsIgwYjNjMegMvB38Ni/Xf7lEDIUBJGXm0Xvhbk4lZuHj5sjKwaHU8nPXOpawYlKEhBCFpyBHnQi97UMw5qjHGr4AD42DslW0zSb+laIorDq5itl7Z2O0GCnvWp457ebQ2Lex1tHuWkJ6Hj0X7uJscjZ+Ho6sHNyC6uXctI4lrJwUISHEg1MUOPIjrJ8AGZfUY5VC4NGZUKmpttnEf8osyGTCjgmsv7AegA6VOjC1zVTKOJacOTVxabn0/HIXF67k4O/pzMrBoVTxdtU6ligBpAgJIR7MpX2wbiRc2qveLhMAnSdB/WdlInQJcCTlCGERYcRlxWGnt+O94PfoU68PuhL02l1MzaHHl7u4dDWXAC9nVg5qQYCXi9axRAkhRUgIcX/SL8GGSXD4O/W2vau6InTLIbIidAmgKAorjq/gg6gPMFlM+Lv5M6fdHBqWa6h1tHtyLiWbnl/uIj49j6o+rqwYFEpFT/n+E3dPipAQ4t4UZKuLIW7/H5hy1WONe6nzgDwqaJtN3JX0/HTGbR/H5oubAehUuROTWk/Cw6FkXVkVk5RJzy93k5SZT/VyrnwzuAW+Hk5axxIljBQhIcTdub4z/IaJkHlZPVa5JTw6Ayo20TSauHsHkw8yLGIY8dnx2OvtCWsWRo86PUrUUBjAyYRMei3cRUpWAbX93Fk+KJRy7rIkg7h3UoSEEP/t4h51HlBclHrbszJ0ngL1npZ5QCWERbGw7Ogy/rf/f5gUEwHuAcxpP4f63vW1jnbPjl5Op/fC3VzNMVKvggfLB4Xi5eqgdSxRQkkREkLcWcZl9Uqw6/OAHNzUtYBavAH2MgRRUlzNu8rY7WOJvKQubPlo4KNMaDkBN4eSd2n5oUtp9Fm0h/RcI0GVyrBsQChlXOy1jiVKMClCQoh/MuXDrk8hYs61jVF10KS3Og/I3U/rdOIe7E/cz/DI4STmJOKgd2BEyAheqPVCiRsKA9h7PpX+S/aSlW+iaZWyLOnfHA8nKUHiwUgREkLcQhezHtaPhdQz6oGAUHhsNlRsrGkucW8sioXFRxbzyYFPMCtmAj0CCW8fTm2v2lpHuy/bTqcweNk+co1mQqt6sejl5rg5yluYeHDyXSSEUKWeJfTMXOwORKu33fyg82Ro1F3mAZUwV3KvMHrbaHZc3gHAk9WeZFyLcbjYl8y1dTYcS+SNFfspMFtoX6scC3o3xdnBoHUsUUpIERLC1hVkw9YPsNvxMeXNBSh6O3QtXod2w8GpZF1OLWBvwl5GRI4gOTcZJ4MTo0NH061GtxI5FAbw28HLvLcqGpNFoUt9Pz7q0QRHOylBovBIERLCVl3fFuOvcZB5GR2Q6N4Qr55fYF+hntbpxD0yW8x8cfgLFhxcgEWxUK1MNT5o/wE1ytbQOtp9+27fRUb+eAiLAt0aVyT8hSDsDCVj81dRckgREsIWJRyBP0bAhW3qbc8qmDpNYVeMwuM+NbXNJu5ZSm4KIyNHsjthNwDdanRjVMioEjsUBvDVjvNM+PUoAD1CKjOtWwP0+pJ5VktYNylCQtiS3KuweTrsXQiKBeycoe1QaPUWCnZwZq3WCcU92nl5JyO3jiQ1LxVnO2fGtRhH1+pdtY71QD7bcoZZ604AMKB1VcY9WbfEDu0J6ydFSAhboChw8Bt1GCwnRT1Wrxs8MhU8A9TbRqNm8cS9M1lMfHbwM7489CUKCjXL1iS8fTjVylTTOtp9UxSFuetP8fGmGADefqgG73WuJSVIFCkpQkKUdonHYM37EKteQUS5Ourl8NXaa5tL3LfE7ERGbB1BVKK60vdzNZ9jZMhInOxK7iKXiqIw5ffjLN5+DoARj9bh9Q7VNU4lbIEUISFKq/wsiJgJOz8FxQz2LtBhpLoqtEEWoSuptsVtY/TW0VzNv4qLnQsTWk7g8WqPax3rgZgtCmNXH+abPRcBmPRUffq1CtQ2lLAZUoSEKG0UBY79AutG3dwctW5X6DLj5jCYKHGMFiOfHPiExUcWA1DHqw7h7cOp4lFF42QPxmS28P73B/kl+jJ6Hcx8rhEvNpPvU1F8pAgJUZpcOQNrh8GZjertsoHw2Byo9YimscSDSchOYFjEMKKTowF4qfZLhDUPw9FQsndbzzeZefubA/x5NBE7vY4Puzema1BFrWMJG6P5ggzz588nMDAQJycnQkND2bNnz79+flpaGm+++SYVKlTA0dGRWrVqsXatXOkibJwxFzbPgE9bqiXI4ADtR8Abu6QElXBbLm7h+d+eJzo5Gjd7Nz5o/wFjWowp8SUot8DM4GVR/Hk0EQeDngW9m0oJEprQ9IzQqlWrGDp0KAsWLCA0NJR58+bRpUsXTp48ia+v7z8+v6CggM6dO+Pr68sPP/yAv78/Fy5cwNPTs/jDC2EtTq+HtWFw9bx6u/pD8Hg4eMtE05LMpJiYu38uy08sB6C+d33mtJ9DgHvJHzbKyjcxYOle9pxLxdnewJd9m9Gmpo/WsYSN0rQIzZ07l8GDB9O/f38AFixYwJo1a1i8eDEjR478x+cvXryY1NRUduzYgb29OtkzMDCwOCMLYT0yLquLIh7/Vb3tXhEenQH1npa9wUq4uKw4FmYt5NKJSwD0rtub95q+h4PBQeNkDy4tp4B+S/Zy8GIa7o52LO7fnOaBXlrHEjZMsyJUUFBAVFQUo0aNunFMr9fTqVMndu7cedv7/Prrr7Rs2ZI333yTX375hXLlytGzZ09GjBiBwXD7vWfy8/PJz8+/cTsjIwMAo9GIUdZN0dT1r7+8DvfIYka/fyn6zVPQFWSh6AxYQl7F0nYYOLqDyXRfDyuvh3XYdHETE3dNJMuchbu9O5NaTqJDpQ5gUSdMl2RJmfn0XxrFqaQsPJ3tWdwvmIb+7lb9PSc/F9ajqF4DzYpQSkoKZrMZPz+/W477+flx4sSJ297n7NmzbNq0iV69erF27VpiYmJ44403MBqNTJgw4bb3mTFjBpMmTfrH8c2bN+PiUnKXny9N1q9fr3WEEsMjN5ag2CV45ZwBINWlOgcr9yejoDJs3FoozyGvhzZMiol1uevYVbALgABDAC86v0jOoRzWHir58yCv5MH8Ywau5OvwsFd4tVYuFw9u5+JBrZPdHfm50F5OTk6RPG6JumrMYrHg6+vLF198gcFgoGnTpsTFxTFnzpw7FqFRo0YxdOjQG7czMjIICAigY8eOeHt7F1d0cRtGo5H169fTuXPnG0Od4g6MOei3hqM/+Ck6iwnF0R1Lh3G4B/ejjb5wduKW10M7FzMvMnL7SI4XHAegV61e1EqsxaOPPFoqXovTiVlM+yqKK/n5VCrrzFcvN6WyV8n4h6j8XFiPK1euFMnjalaEfHx8MBgMJCYm3nI8MTGR8uXL3/Y+FSpUwN7e/pZhsLp165KQkEBBQQEODv8cP3d0dMTR8Z9XV9jb28s3tZWQ1+I/xGyE39+DtAvq7bpd0T02G4NHRQqnAt1KXo/ite78OibumEi2MRtPR0+mtZlGS7+WrF27tlS8FtEX03h5yV7ScozU9nNn2cAQ/DxK3grYpeG1KOmK6uuv2eXzDg4ONG3alI0bN944ZrFY2LhxIy1btrztfVq3bk1MTAwWi+XGsVOnTlGhQoXbliAhSrSsZPhxECx/Vi1BHv7w0jfQfTl4yGXGJV2+OZ8pO6cwLGIY2cZsgn2D+b7r97Sr1E7raIVmR0wKvb7cRVqOkcYBnqx6tUWJLEGidNN0HaGhQ4fy5Zdf8tVXX3H8+HFef/11srOzb1xF1rdv31smU7/++uukpqbyzjvvcOrUKdasWcP06dN58803tforCFH4FAX2fw2fNIPD34NOD6Gvw5u7oU7J3kpBqM6nn6fXml58d+o7AAY1HMSiLoso73r7s+El0V9HE3h56V6yC8y0ruHNikGheLrIP1iF9dF0jlD37t1JTk5m/PjxJCQk0LhxY9atW3djAnVsbCx6/c2uFhAQwJ9//sl7771Ho0aN8Pf355133mHEiBFa/RWEKFwpp+G3d+HCNvV2+YbQ9SPwD9Y0lig8v5/9nck7J5NrysXLyYvpbabT2r+11rEK1U/7LzHsh0OYLQqP1PPjox5NcLIvioFcIR6c5pOlhwwZwpAhQ277Z1u2bPnHsZYtW7Jr164iTiVEMTMbYcdHsGUWmPOvbZA66toGqZr/mIpCkGvKZeaemfx0+icAmpdvzsy2M/F1+efisSXZ0u3nmPjbMQCeC67ErOcaYmfQfBMDIe5IfsMKobX4Q/DLm5BwSL1doxM8MRfKluzNNMVNZ9LOEBYRRkxaDDp0vBr0Kq81eg1DIV3xZw0UReHjTTHMXX8KgP6tAxn3RD30elncU1g3KUJCaMWYB5FzYPs8sJjAyRMenQlBL8nK0KXI6pjVTN89nVxTLt5O3sxqN4vQCqFaxypUiqIwdc1xFm07B8B7nWrx9sM10Mn3sSgBpAgJoYWLe9SzQCnqv56p97S6P5hb6RomsWU5xhym7Z7Gr2fULVBaVGjBjLYz8HEuXXtqmcwWRv10mO+j1O1AJnStR//WVTVOJcTdkyIkRHEqyIaNU2D3AkABV1944gOo95TWyUQhOnX1FGERYZxLP4dep+eNoDcY1HBQqRoKA8g3mXnnm2jWHU3AoNcx+7lGPNe0ktaxhLgnUoSEKC5nt8Cvb99cGDGoJ3SZBi6y4WRpoSgKP53+iRl7ZpBvzsfX2ZeZ7WbSvHxzraMVuux8E68tj2Lr6RQcDHo+7tmELvVLz+X/wnZIERKiqOWmwfpxsH+ZetujEnT9H9TspGksUbiyjdlM2jmJP879AUBr/9ZMbzMdL6fSV3TTcgrov3QvB2LTcHEwsLBvM1rVKF1DfsJ2SBESoiid+gt+exsy49XbzQdBp4nqLvGi1DiReoKwiDAuZFzAoDPwVpO36N+gP3pd6btsPD49l76L9nA6KQtPF3uW9g+hcYCn1rGEuG9ShIQoCnnp8OdoOLBcve1VHZ76GAJL18J5tk5RFL47+R2z986mwFJAedfyzGk3h8a+jbWOViRikrLot3gPcWm5lPdwYtnAEGr5SakXJZsUISEK25nN8MsQyLgE6KDF6/DQOHAoGbtti7uTWZDJxB0T+evCXwB0qNSBKa2n4OnkqW2wIhJ9MY3+S/ZwNcdItXKufD0wFH9PZ61jCfHApAgJUVjys2D9eNi3SL1dNhCe/lTOApVCR1OOEhYRxqWsS9jp7Hi36bv0rde31K6bE3kqmdeWR5FTYCaoUhmW9A/By1X2DROlgxQhIQrD+e3wyxtw9bx6u/kg6DQJHN00jSUKl6IorDyxkvB94ZgsJiq6VmRO+zk0KtdI62hF5teDl3n/u2iMZoW2NX1Y0Lspro7y1iFKD/luFuJBGHNh42TY9RmgQJkAePoTqNZB62SikKXnpzN++3g2XdwEwMOVH2ZSq0mUcSyjcbKi89WO80z87SiKAl2DKvLBC0E42JW+CeDCtkkREuJ+XdwLq1+DKzHq7eC+8Mg0cPLQNpcodIeSDzEsYhiXsy9jr7fn/Wbv07NOz1I7FKYoCh+uP8VHm9Tv7X4tqzCha33ZN0yUSlKEhLhXpnzYPF3dLV6xgHsF9Yqwmp21TiYKmUWx8PWxr5kXNQ+TYqKSWyXCO4RT37u+1tGKjNmiMO6XI6zcHQvA+51rMeQh2TdMlF5ShIS4F4nH4KdXIPGwervRS/DYTHAuq20uUejS8tIYs30MkZciAegS2IUJLSfg7lB6LxfPN5l599to/jiSgE4HU7s1oFdoFa1jCVGkpAgJcTcsFnV/sA0TwZwPLt7Q9SOo+6TWyUQROJB0gGERw0jMScRB78CIkBG8UOuFUn1WJDPPyCvLoth59goOBj3zXmrM4w0raB1LiCInRUiI/5IeB6tfh3MR6u2aj8BTn4C7n7a5RKGzKBYWH1nMJwc+wayYCfQIJLx9OLW9amsdrUglZ+bz8pI9HL2cgZujHV/0aSpbZgibIUVIiH9z5Cf4/T3ISwM7Z3WT1GYDoBSfGbBVV3KvMGbbGLZf3g7AE9WeYFyLcbjau2qcrGhdTM2hz6LdnL+Sg7erA18NCKGBf+m9Ek6I/0+KkBC3k5cOa4fBoVXq7YpN4NkvwaemtrlEkdibsJcRkSNIzk3GyeDEqNBRPFPjmVI9FAZwPD6Dvov3kJyZT6Wyznw9MJSqPqW7+Anx/0kREuL/O78dfn4V0i+CTg9tw6D9cDDYa51MFDKzxcyXh7/ks4OfYVEsVCtTjfD24dQsW/oL784zV3jl631k5pmoU96drwaE4OfhpHUsIYqdFCEhrjMVwOZpsP1/gKJukfHMF1A5VOtkogik5KYwcutIdsfvBuDp6k8zOnQ0Lvalf0+43w9dZuiqgxSYLTQPLMvCfs0p4yxFX9gmKUJCAKTEwI8DIP6gertJb3h0JjiW3kulbdmu+F2MjBzJlbwrONs5M7bFWJ6q/pTWsYrF4m3nmLLmGIoCj9Yvz7yXGuNkb9A6lhCakSIkbJuiwMFvYE0YGLPV9YCe+hjqdtU6mSgCJouJBQcX8MWhL1BQqOFZgw/af0A1z2paRytyFovCrHUn+DzyLAB9r60WbZDVooWNu+si9Oyzz971g/7000/3FUaIYpWXAWveh8PfqbcD28KzX4BHRW1ziSKRlJPE8MjhRCVGAfBczecYGTISJ7vSPy+mwGRh+A8HWR19GYDhj9bm9fbVS/1kcCHuxl0XoTJl5HJKUYpcilKHwq6eB50BOo6CNkNBL0MEpdG2uG2M3jqaq/lXcbFzYXzL8TxR7QmtYxWLzDwjry2PYnvMFez0OmY914jnmlbSOpYQVuOui9CSJUuKMocQxcNiUfcI2zQFLCYoUxmeWygTokspk8XEJwc+YdGRRQDULlub8PbhBJYJ1DZYMUnKyOPlJXs5Fp+Bi4OBz3o3pX2tclrHEsKqPNAcoeTkZE6ePAlA7dq1KVdOfsCEFctMVC+LP7tZvV2vG3T9Hzh7aplKFJGE7ASGRw7nQNIBALrX7s6w5sNwNDhqnKx4nEnOot/iPVy6mouPmwNLXg6hYSU5sy/E/3dfRSg7O5u33nqLZcuWYbFYADAYDPTt25ePP/4YF5fSf/mpKGFOr4efX4OcFHWF6MdmQXBfWSG6lIq4GMGY7WNIz0/Hzd6Nia0m0iWwi9axik3UhasM/GovaTlGAr1dWDYglMre8ntZiNvR38+dhg4dSkREBL/99htpaWmkpaXxyy+/EBERwfvvv1/YGYW4f2Yj/DUWVjyvliC/BvBqBDTtJyWoFDKajYTvDWfIpiGk56dTz7se3z35nU2VoPXHEun55S7ScowEBXjy4+utpAQJ8S/u64zQjz/+yA8//ECHDh1uHHv88cdxdnbmxRdf5LPPPiusfELcv/Q4+KE/XFQXzKP5YHhkKtiX/quEbFFcVhzDI4ZzKOUQAL3r9ua9pu/hYHDQOFnxWbk7lrGrD2NR4KE6vnzSswkuDrJKihD/5r5+QnJycvDz++fO276+vuTk5DxwKCEe2OkN8NNgyE0FRw94+hOo97TWqUQR2Ri7kXHbx5FZkIm7gztTWk/h4coPax2r2CiKwocbTvPRxtMAvNisEtOfaYid4b5O+gthU+6rCLVs2ZIJEyawbNkynJzUf13n5uYyadIkWrZsWagBhbgnZhNsmQFbw9Xb5RvBi1+BV+lfMM8WFZgLmBs1lxXHVwDQyKcRs9vPxt/NX+NkxcdktjDm5yOs2ncRgLcfrsl7nWrKGkFC3KX7KkLz5s3j0UcfpVKlSgQFBQFw8OBBHB0d+euvvwo1oBB3LTMBfhgIF7apt5sNhC7TZSislLqYcZGwyDCOXTkGQL96/Xgn+B3sbWhz3Kx8E2+u2E/EqWT0OpjarSE9QytrHUuIEuW+ilDDhg05ffo0K1as4MSJEwD06NGDXr164ezsXKgBhbgrZyPgx4GQnQwObupl8Q2f1zqVKCJ/nv+TiTsmkmXMooxjGaa1nkb7gPZaxypWiRl59L+2RpCTvZ6PewTTud4/pywIIf7dfRWhGTNm4Ofnx+DBg285vnjxYpKTkxkxYkShhBPiP1nMEBmuDoehgG99dSjMp6bWyUQRyDfnM2fvHFadXAVAE98mzG43m/Ku5TVOVrxOJmTSf8keLqfn4ePmwMJ+zWkc4Kl1LCFKpPuaSff5559Tp06dfxyvX78+CxYseOBQQtyV7CvqZfFbpgMKNOkDgzZICSqlzqefp9eaXjdK0KCGg1jUZZHNlaDtMSk8/9kOLqfnUa2cKz+93lpKkBAP4L7OCCUkJFChQoV/HC9Xrhzx8fEPHEqI/3T5AKzqA+kXwd4FnpgLjXtonUoUkTVn1zB552RyTDl4OXkxvc10Wvu31jpWsfsh6hIjfzyEyaIQEujFF32b4uliO8sDCFEU7qsIBQQEsH37dqpWrXrL8e3bt1OxouzcLYrYgeXw+1Aw56tXg3VfDn71tU4likCuKZdZe2bx4+kfAWjm14xZ7Wbh6+KrcbLipSgKH22M4cMNpwDoGlSROc83wsleNgkW4kHdVxEaPHgw7777LkajkYceegiAjRs3Mnz4cFlZWhQdUz78MQKirm0AXOsxeGaB7BVWSp1NO8v7Ee8TkxaDDh2vBr3Kq41exU5vWwsEGs0WRv10mB+iLgHweofqDHukNnq9XB4vRGG4r98ow4YN48qVK7zxxhsUFBQA4OTkxIgRIxg1alShBhQCUFeJ/q4vxO0DdNBxDLR9H/SyYFxp9EvML0zbPY1cUy7eTt7MbDeTFhVaaB2r2GXmGXl71X62xaSg18GUbg3oFVpF61hClCr3VYR0Oh2zZs1i3LhxHD9+HGdnZ2rWrImjo23s6iyK2bmt6lYZ2cng5AnPLYSanbVOJYpAjjGHabun8euZXwEIrRDKzLYz8XH20ThZ8UvLhx4L93IyMQsXBwPzewbTsY5tDQkKURwe6Byzm5sbzZs3L6wsQtxKUWDXp/DXOFDM4NcQun8NXlX/+76ixDl99TTvR7zPufRz6HV6Xg96ncENB2PQ2948mGPxGcw9bCDdmEU5d0eWvNycBv5ltI4lRKlkW4PtouQoyIFfh8ARdZIsjV6CJz8EB9lFu7RRFIWfTv/EjD0zyDfn4+vsy8x2M2le3jb/kRVxKpk3lkeRbdRRo5wrSweEUKmsfN8LUVSkCAnrk34JvukBCYdAbwddZkDIYJC9k0qdbGM2k3dOZu25tQC0rtia6W2n4+XkpXEybazaG8von49gtijU9LDw7eAQvD2kBAlRlKQICesSuxtW9VLnA7n4qENhVVppnUoUgROpJxgWMYzzGecx6AwMaTKEAQ0GoNfZ3gR4i0Vh7vpTfLI5BoBuQRVo63QRD2fb2TdNCK1IERLWY//X8Pt7YDGq84F6rARP2UCytFEUhe9OfsfsvbMpsBTg5+LHnPZzaOLbROtomsgzmnn/+4OsOaQuRvv2QzUY0qEqf/xxUeNkQtgGKUJCexYT/DEOdn+m3q77lLo+kIOrtrlEocssyGTSzkn8ef5PANpXas/U1lPxdPLUNphGkjPzGbxsH9EX07A36Jj+TENeaBaA0WjUOpoQNkOKkNCUvSkLw7fd4VyEeqDDaGg3TNYHKoWOXjlK2JYwLmVdwk5nx7tN36Vvvb7obHTu16nETPov2UtcWi5lnO1Z0LspLat7ax1LCJsjRUhoJ/kk7U5ORF+QpO4X9sznUO8prVOJQqYoCitPrOSDfR9gtBip6FqROe3n0KhcI62jaSbyVDJvrthPZr6JQG8XFr/cnGrl3LSOJYRNkiIktHF6PXbfv4x9QRZKmQB0Pb6B8g21TiUKWXp+OhN2TGBj7EYAHgp4iMmtJ1PG0XbXxFm+6wITfj2K+drGqZ/3aUpZV9k4VQitSBESxW/Pl/DHcHSKhRS32pTp/wv2nhW0TiUK2aHkQwyLGMbl7MvY6e0IaxZGzzo9bXYozGxRmL72OIu2nQPg2WB/ZjzbEEc721swUghrIkVIFB+LGf4cc2NStKVRT3boOvGYq+1tn1CaKYrCsmPLmBc1D5NiopJbJcLbh1Pfp77W0TSTnW/inW+j2XA8EYCwR2rxZscaNlsKhbAmUoRE8cjPgh8Hwak/1NsPj8cc+hbKH39om0sUqrS8NMZuH0vEJXXy+yNVHmFiq4m4O7hrnEw78em5DFy6j2PxGTjY6fnghSC6BlXUOpYQ4hopQqLoZVyGld3VlaLtnNRL4+s/A3KJcKlyIOkAwyOHk5CdgIPegeHNh/Ni7Rdt+qzHkbh0Bn61l8SMfLxdHfiibzOaVimrdSwhxN9IERJFK/6QWoIyL4NrOXjpGwiwzT2kSiuLYmHxkcV8cuATzIqZKh5VCG8fTh2vOlpH09RfRxN459toco1mavq6sfjl5gR4yXYZQlgbKUKi6JxcBz8MAGM2lKsDPVdB2UCtU4lClJqXyuhto9ketx2Ax6s+zviW43G1t93FMBVFYdG2c0xbexxFgbY1fZjfKxgPJ9kuQwhrJEVIFI1rV4ahWKBaR3hhKTh7ap1KFKJ9CfsYETmCpNwkHA2OjA4dzTM1nrHpoTCj2cL4X47yzZ5YAHqGVmbSU/WxN8gCoUJYKylConApCmycDNvmqreD+8ETH4BB/jVcWpgtZhYeXsinBz/FolioWqYqH7T/gJpla2odTVNXswt4fUUUu86motPBmMfrMrBNVZsuhkKUBFKEROExG+HXt+DgN+rtjmOhXRjIG0GpkZKbwsitI9kdvxuAp6o/xZjQMbjY2/bcl9OJmQz8ah+xqTm4Ohj4qEcTHq7rp3UsIcRdkCIkCkd+JnzXF85sAp0BnvoImvTWOpUoRLvidzEyciRX8q7gbOfMmNAxPF3jaa1jaW7zySTeXnmAzHwTlco6s6hfc2qXt93lAoQoaaQIiQeXmQgrX4D4g+qeYS8ug5qdtU4lConZYmbBoQV8fvBzFBRqeNYgvH041T2rax1NU9cnRU9fexyLAiGBXnzWOxhvN0etowkh7oEUIfFgUmJg+bOQdgFcfKDXd+DfVOtUopAk5SQxInIE+xL3AfBczecYETICZztnjZNpq8BkYdzqI6zadxGA7s0CmNKtAQ52MilaiJJGipC4f5f2wcoXIecKlK0KvX8Eb9s+S1CabI/bzuhto0nNS8XFzoXxLcfzRLUntI6luStZ+by+fD97zqei18GYJ+oxoHWgTIoWooSyin++zJ8/n8DAQJycnAgNDWXPnj13db9vv/0WnU5Ht27dijag+KeYjfBVV7UEVWwCA9dLCSolTBYT86Lm8dqG10jNS6V22dqsenKVlCDgZEImT8/fzp7zqbg72rHo5eZyZZgQJZzmRWjVqlUMHTqUCRMmsH//foKCgujSpQtJSUn/er/z588TFhZG27ZtiympuOHoanW1aGMOVH8I+v0ObuW0TiUKQZoljVc2vsKiI4sA6F67OyueWEFgmUBtg1mBjccTefbT7Vy6mksVbxd+frMVHWv7ah1LCPGANC9Cc+fOZfDgwfTv35969eqxYMECXFxcWLx48R3vYzab6dWrF5MmTaJatWrFmFawfxn80B8sRqjXDXp8C45uWqcShWBr3FbmZ84nOjkaN3s35rSfw9gWY3E02PbkX0VR+DziDIOW7SO7wEyLal6sfqM1NXzlyjAhSgNN5wgVFBQQFRXFqFGjbhzT6/V06tSJnTt33vF+kydPxtfXl4EDB7J169Z/fY78/Hzy8/Nv3M7IyADAaDRilE0/74l+13wMGycAYGncG/NjH4Civ+/NU69//eV10JbRYuSTg5/w9fGvAahTtg6z2swiwD3A5l+bfJOFcb8e4+cDlwF4qXklxj9RB3uDrki/NvKzYT3ktbAeRfUaaFqEUlJSMJvN+PnduvCYn58fJ06cuO19tm3bxqJFi4iOjr6r55gxYwaTJk36x/HNmzfj4mLbi8DdNUWhbvwP1Er8DYDTvo9zjM6w7s9Cefj169cXyuOIe3fVcpVV2au4ZL4EQEuHlnSxdOHw1sMc5rDG6bSVUQCLTxk4l6lDh8KzgRZaGM6z/s/zxZZBfjash7wW2svJySmSxy1RV41lZmbSp08fvvzyS3x8fO7qPqNGjWLo0KE3bmdkZBAQEEDHjh3x9vYuqqilh2JBv24EhmslyNxxHIGt3iGwEB7aaDSyfv16OnfujL29bMFR3DZf3MysXbPINGfibu/O2OZjMR4zyusBHInL4PWVB0jIzMfdyY7/dW9E2xp39zunMMjPhvWQ18J6XLlypUgeV9Mi5OPjg8FgIDEx8ZbjiYmJlC9f/h+ff+bMGc6fP0/Xrl1vHLNYLADY2dlx8uRJqle/9colR0dHHB3/OcfB3t5evqn/i9kEq9+Ew98DOnhyLoZmAzAU8tPIa1G8CswFfBj1IcuPLwegoU9D5rSfg6+jL2uPrbX51+OX6DiG/3CIfJOFaj6ufNmvGdXLaTMPztZfC2sir4X2iurrr2kRcnBwoGnTpmzcuPHGJfAWi4WNGzcyZMiQf3x+nTp1OHz41tP1Y8eOJTMzk//9738EBAQUR2zbYDbCjwPh2C+gt4NnPoeGz2udSjygi5kXCYsI49iVYwD0q9ePd4Lfwd5gb/NzIMwWhVnrTvBF5FkAOtYux7yXmlDGWd78hCjNNB8aGzp0KP369aNZs2aEhIQwb948srOz6d+/PwB9+/bF39+fGTNm4OTkRIMGDW65v6enJ8A/josHYMqH7/vDyTWgt1e3zKjzuNapxAP66/xfTNgxgSxjFmUcyzC19VQ6BHTQOpZVSM8x8ta3B4g8lQzAGx2q8/4jtTHoZX0gIUo7zYtQ9+7dSU5OZvz48SQkJNC4cWPWrVt3YwJ1bGwser3mV/nbDmMefNcHTv8FBkd4aYXsG1bC5ZvzmbN3DqtOrgKgcbnGzGk/h/Ku/xx+tkWnEzMZvGwf56/k4GSvZ87zQXQNqqh1LCFEMdG8CAEMGTLktkNhAFu2bPnX+y5durTwA9mqghz4tiec3Qx2ztDjG6jeUetU4gFcyLhAWEQYJ1LVqzAHNhjIm03exF4vwz0Afx1N4L1V0WQXmPH3dOaLvk2pX7GM1rGEEMXIKoqQsAL5WfDNS3B+K9i7qpunBrbROpV4AGvPrmXSzknkmHIo61iW6W2n08ZfXlMAi0Xh400xfLjhFAAtqnkxv6fsHC+ELZIiJCAvQ908NXYnOLhD7x+gcgutU4n7lGfKY+aemfx4+kcAmvo1ZVbbWfi5+v3HPW1Ddr6J9787yLqjCQC83CqQMU/Uxd4gQ/BC2CIpQrYuPxNWPA8Xd4NjGejzE1RqpnUqcZ/Opp/l/S3vE5MWgw4drzR6hdeCXsNOLz/qABeuZPPKsihOJmbiYNAztVsDXmwuV5sKYcvkt6MtK8iGFS+qJcipDPT9Rd1JXpRIv575lam7ppJrysXbyZsZbWfQsmJLrWNZjW2nU3hz5X7Sc42Uc3dkQe+mNK1SVutYQgiNSRGyVQU56g7ysTvA0QP6rJYSVELlGHOYvns6v5z5BYDQ8qHMbDcTH+fiWwnZmimKwqJt55i+9jgWBYICPPm8d1PKl3HSOpoQwgpIEbJFxjxY1UudGO3gDr1/Av9grVOJ+3D66mnCIsI4m34WvU7P60GvM7jhYAz6wl7/u2TKKTAx8sfD/HpQ3TT1ueBKTHumAU728vURQqikCNkaU766TtCZTdeuDvseApprnUrcI0VR+DnmZ2bsnkGeOY9yzuWY1W4WzcvLa3ndhSvZvPp1FCcSMrHT6xjzRF1ebhWITieLJAohbpIiZEvMRnXF6NN/qesE9VwFVWQOSUmTbcxmyq4prDm7BoBWFVsxvc10vJ1lE+HrNp9I4p1vD5CRZ8LHzZH5PZsQWk2+PkKIf5IiZCvMJnXvsJNr1BWje3wDVdtqnUrco5OpJwmLCON8xnkMOgNDmgxhQIMB6HVy6TfcXB9o3sZTKAo0qezJZ71kPpAQ4s6kCNkCiwV+e1vdQNXgAC+tlBWjSxhFUfj+1PfM2jOLAksBfi5+zG43m2A/mdt1XXqukaGrotl4IgmA3i0qM/7J+jjYSUkUQtyZFKHSTlHgrzEQvQJ0BnhhKdTspHUqcQ+yCrKYuHMif57/E4B2ldoxtfVUyjrJpd/XnUzI5NWv1f3CHOz0TOvWgBeayfpAQoj/JkWotIsMh12fqh8/PR/qPKFtHnFPjl45yrCIYVzMvIidzo53m75Ln3p9ZCjsb347eJnhPxwi16juF7agd1MaVpL9woQQd0eKUGm250vYPFX9+NGZ0LiHtnnEXVMUhZUnVvLBvg8wWoxUdK3I7PazCSoXpHU0q2EyW5j5xwkWbjsHQJsaPnzUowlerg4aJxNClCRShEqrQ9/B2jD14/YjocXr2uYRdy09P50JOyawMXYjAA8FPMTk1pMp4yhnOa5LycpnyMr97DqbCsBr7aszrEttDHq5NF4IcW+kCJVGJ9fBz6+pH4e8Ch1GaptH3LXDyYcZFjmMuKw47PR2hDULo2ednrL2zd8ciL3KGyv2E5+eh6uDgfAXgnisYQWtYwkhSigpQqVN7G74vh8oZmj0kjokJm+iVk9RFJYdW8a8qHmYFBOV3CoR3j6c+j71tY5mNRRFYeWeWCb9eowCs4Vq5Vz5ok9Tavi6ax1NCFGCSREqTVJOwzfdwZQHtR6Fpz8BvUyqtXbp+emM3TaWLZe2ANC5SmcmtZqEu4O8wV+XU2BizM9H+PlAHACP1PPjgxeDcHey1ziZEKKkkyJUWmQmwvJnIfcq+DeD55eAQd4krF10UjTDIoeRkJ2Ag96B4c2H82LtF2Uo7G/OJGfx+vIoTiVmYdDrGNalNq+2qyZfIyFEoZAiVBrkZ8HKFyEtFryqqVtnOLhonUr8C4tiYcmRJXx84GPMipkqHlUIbx9OHa86WkezKr8fusyIHw6RXWCmnLsjH/doQgvZKkMIUYikCJV0ZqM6Jyg+Gly8odcP4OqjdSrxL1LzUhmzbQzb4rYB8FjVx5jQcgKu9q4aJ7MeBSYL09ceZ+mO8wC0qObFRz2a4OsuW2UIIQqXFKGSTFHg9/cgZsO1TVS/A+/qWqcS/2Jfwj5GRI4gKTcJR4MjI0NG8lzN52SY528up+Xy5sr9HIhNA+D1DtV5v3Mt7Awy300IUfikCJVkkeFw4GvQ6eGFJVCpmdaJxB2YLWYWHl7Ipwc/xaJYqFqmKuHtw6lVtpbW0axK5Klk3vn2AFdzjHg42TH3xcZ0quendSwhRCkmRaikOvLTzVWjHw+H2o9pm0fcUUpuCqO2jmJX/C4Anqr+FGNCx+BiL/O4rjNbFD7edJr/bTyNokADfw8+7dmUyt7yNRJCFC0pQiVRXBSsvrZSdIs3oflAbfOIO9odv5uRW0eSkpuCs50zo0NH061GN61jWZXU7ALe+fYAW0+nANAjpDITutbDyd6gcTIhhC2QIlTSpMfBNz3VtYJqPgKPTNE6kbgNs8XMgkML+Pzg5ygo1PCsQXj7cKp7yhyuv9sfe5U3r60S7WSvZ1q3hjzXtJLWsYQQNkSKUElSkA3f9oCsBPCtB88tAr38q9naJOUkMXLrSPYm7AXg2ZrPMjJkJM52zhonsx6KorB4+3lm/nEco1mhmo8rn/YOpk55D62jCSFsjBShksJigZ9fhfiD4OIDPb4FJ3nTsDY74nYwatsoUvNScbZzZnzL8TxZ7UmtY1mVtJwCwr4/xIbjiQA83rA8s55rJKtECyE0IUWopNg8DY7/BgYHeGkFlK2idSLxNyaLifnR81l4eCEAtcvWJrx9OIFlArUNZmWiLlzl7W8OEJeWi4NBz9gn69KnRRVZPkAIoRkpQiXB0Z9ha7j68VMfQ+UW2uYRt0jITmBE5Aj2J+0H4MVaLzKs+TCc7GTxv+ssFoUvt55lzp8nMVkUqni7ML9nMA38y2gdTQhh46QIWbvEY7D6TfXjVm9D0Eva5hG3iLwUyZhtY0jLT8PV3pWJrSbyaOCjWseyKqnZBYR9f5BNJ5IAeLJRBWY821CGwoQQVkGKkDXLTYNVvcCYDVXbw8MTtE4krjFajHy8/2OWHF0CQF2vuoS3D6eyR2WNk1mXvedTefubA8Sn5+Fgp2dC13r0DKksQ2FCCKshRchaXZ8cnXoWygRc201eXi5rcDnrMsMih3Eo+RAAPev05P1m7+NgcNA4mfWwWBQWRJ7hg79OYbaoV4V90jOYehVlgr8QwrrIO6u1ipwNp9aBwRG6fw2usuO2NdgUu4lx28eRUZCBu707k1tPplOVTlrHsipXsvIZ+t1BIk4lA9CtcUWmPtMQN0f5dSOEsD7ym8kanVwHW2aoHz/5IVRsom0egdFsZG7UXJYfXw5AQ5+GzG43m0rusvjf3+0+e4W3vz1AYkY+jnZ6Jj9dnxebBchQmBDCakkRsjZXz8NPr6gfNx8ETXppGkfAxcyLDIsYxtErRwHoW68v7wa/i71BJvteZ7YofLo5hg83nMKiQPVyrnzaqym1y7trHU0IIf6VFCFrYiqA7/tDfjpUag5dZmidyOb9df4vJuyYQJYxCw8HD6a1mUaHgA5ax7IqCel5vLvqALvOpgLwXHAlpnSrj4uD/HoRQlg/+U1lTdaPh8v7wclTnRxtJ5NvtZJvzmfO3jmsOrkKgMblGjO73WwquFXQOJl1+etoAsN/PERajhEXBwOTn27A87JXmBCiBJEiZC2O/w67P1M/fmYBeAZom8eGXci4wLCIYRxPPQ7AgAYDGNJkCPZ6GQq7Ls9oZtqa43y96wIADfw9+OilJlQr56ZxMiGEuDdShKzB1Qvwyxvqxy2HQO3HtM1jw/449wcTd0wkx5RDWceyTGszjbaV2mody6qcSszkrZUHOJmYCcDgtlUZ1qUODnZ6jZMJIcS9kyKkNVMB/DAA8tLBv6ksmqiRPFMes/bO4odTPwAQ7BvM7Haz8XP10ziZ9VAUheW7Y5n6+zHyTRZ83Bz54MUg2tcqp3U0IYS4b1KEtLZ5KsTtA6cyMi9II2fTzxIWEcbpq6fRoWNwo8G8HvQ6dnr58bjuanYBI348xF/H1B3j29cqR/gLQZRzd9Q4mRBCPBj5Ta+l89tg+0fqx0/Plx3lNfDbmd+YsmsKuaZcvJy8mNF2Bq0qttI6llXZeeYK762KJiEjD3uDjhGP1mFA66ro9bI2kBCi5JMipJXcNPj5NUCBJn2gbletE9mUHGMOM/bMYHXMagBCy4cyo+0MyrnIMM91JrOF/208zSebY1AUqObjykc9msiO8UKIUkWKkFbWDoP0i1C2Kjw6U+s0NiXmagxhEWGcST+DXqfntaDXeKXhKxj0Bq2jWY2LqTm88+0B9semAfBis0pM6FofV9kmQwhRyshvNS0c/gEOfwc6Azz7JTjKJcfFQVEUVsesZvru6eSZ8yjnXI5Z7WbRvHxzraNZDUWBnw9cZvKaE2Tlm3B3tGP6sw3pGlRR62hCCFEkpAgVt7SL8PtQ9eN2wyBA3oSLQ44xh8m7JrPm7BoAWlVsxfQ20/F2ls1sr0vLMbL0tJ7oXUcAaFqlLPO6NybAy0XjZEIIUXSkCBUniwVWv65uoeHfDNqFaZ3IJpxMPUlYRBjnM85j0BkY0mQIAxoMQK+TdW+u23Y6hfe/iyYxU4+dXsd7nWvxWvvqGGRCtBCilJMiVJyiFsP5rWDvAs9+AbJpZ5FSFIXvT33PrD2zKLAU4Oviy5x2cwj2C9Y6mtXIM5qZ8+dJFm07B4Cvk8KCl0MJDvTROJkQQhQPKULFJS0W1l9bLLHTRPCurmmc0i6rIItJOyex7vw6ANr6t2Vam2mUdSqrcTLrcTw+g3e/jb6xQnTPkEo05jwN5aowIYQNkSJUHBQFfn0bCrKgcktoPljrRKXasSvHCIsI42LmRex0drwT/A596/eVobBrLBaFRdvOMefPkxSYLfi4OTD7+Ua0re7F2rXntY4nhBDFSopQcTiwHM5uBjsneOoT0MsbclFQFIVvTnxD+L5wjBYjFVwrMLvdbBr7NtY6mtW4nJbL+98dZOfZKwB0quvLzOca4ePmiNFo1DidEEIUPylCRS3jMvw5Rv244xjwqaFtnlIqoyCDCdsnsCF2AwAdAzoypfUUyjjKMM91vx28zJifD5ORZ8LZ3sC4J+vRIyQAnU4mRAshbJcUoaKkKOql8vnXNlRt+abWiUqlw8mHGRY5jLisOOz0drzf9H161e0lb/DXpOcYmfDrEVZHXwYgKMCTD18Molo5Wb9KCCGkCBWl47/BqT9Ab6/uJSYrFxcqRVH4+tjXfLj/Q0wWE/5u/oS3D6eBTwOto1mNiFPJjPjhEAkZeeh1MOShmrz1UA3sDTI8K4QQIEWo6ORnwbqR6set3wHfutrmKWXS89MZu20sWy5tAaBzlc5MbDURDwcPbYNZiax8E9PXHmfl7lgAqvq4Ev5CEE2ryFVzQgjxd1KEisqWGZARB2UDZeHEQhadFM2wyGEkZCdgr7dnePPhdK/dXYbCrtl99gphPxzkYmouAC+3CmTEo3VwdpAzkkII8f9JESoKCUdg12fqx4+Hg72ztnlKCYtiYenRpXy0/yPMipnK7pUJbx9OXW852wY3F0dcvP0cigL+ns7MeaERrarL4ohCCHEnUoQKm8UCv78HihnqPgU1O2udqFRIzUtlzLYxbIvbBsBjgY8xvuV43Bxkwi9A9MU0hn4XzdnkbABeah7AmCfq4u4kq5cLIcS/kSJU2KJXwKU94OAGj87UOk2pEJUYxfCI4STlJuFocGRkyEieq/mcDIUBBSYLH208zWcRZzBbFHzdHZn1XCM61vHVOpoQQpQIUoQKU14GbJysftxhJJTx1zZPCWdRLCw8vJD50fOxKBYCPQIJbx9Oba/aWkezCsfjMxj63UGOx2cA8FRQRSY/XR9PFweNkwkhRMkhRagwbf0AspPAqzqEvKp1mhItJTeF0VtHszN+JwBdq3VlbIuxuNi7aJxMeyazhc8jzzJvwymMZoWyLvZM7daQJxpV0DqaEEKUOFKECkvqOdj1qfpxl2lgJ/8qv1+743czcutIUnJTcDI4MTp0NN1qdJOhMNSzQMN+OMiROPUsUKe6fsx4tiHl3B01TiaEECWTFKHCsn4cmAugWkeo9ajWaUoks8XM54c+Z8HBBSgo1PCsQXj7cKp7Vtc6muYKTBbmb45h/uYYTBaFMs72jH+yHs8G+0tBFEKIB2AVy8vOnz+fwMBAnJycCA0NZc+ePXf83C+//JK2bdtStmxZypYtS6dOnf7184vFua3qKtI6PTw6A+SN6Z4l5yQzeP1gPjv4GQoKz9R4hpVPrJQSBBy+lM5Tn2zjfxtPY7IoPFLPj/XvteO5ppWkBAkhxAPSvAitWrWKoUOHMmHCBPbv309QUBBdunQhKSnptp+/ZcsWevTowebNm9m5cycBAQE88sgjxMXFFXPyaywW+HOU+nGzAbKC9H3YGb+T5397nr0Je3G2c2Z6m+lMbj0ZZzvbXn8pz2hm9roTdPt0OycSMvFydeDjHk34vE9TfD2ctI4nhBClguZDY3PnzmXw4MH0798fgAULFrBmzRoWL17MyJEj//H5K1asuOX2woUL+fHHH9m4cSN9+/Ytlsy3OPoTJBwGRw/oMLr4n78EM1lMrM9dT+TmSBQUapWtRXj7cKqWqap1NM3tj73K8B8OEZOUBcCTjSow6an6eLvJXCAhhChMmhahgoICoqKiGDVq1I1jer2eTp06sXPnzrt6jJycHIxGI15eXrf98/z8fPLz82/czshQJ5kajUaMRuMDpAfMRuw2TUUHmFsMweLgAQ/6mDYiMSeRUdtGEZ0fDcBzNZ7j/eD3cbJzevDXpQTLLTAzb2MMS3ZeQFHAx82BSV3r8kg9P4Ai/dpcf2xb/vpbC3ktrIe8FtajqF4DTYtQSkoKZrMZPz+/W477+flx4sSJu3qMESNGULFiRTp16nTbP58xYwaTJk36x/HNmzfj4vJgl2IHpmwi6Oo58uw82HA1EPPatQ/0eLbipPEkP+b8SI6SgyOOdHPpRsOUhmz6a5PW0TQVkwHfnDGQkqfO+2lezsIzVXIwnY9i7fniy7F+/friezLxr+S1sB7yWmgvJyenSB5X86GxBzFz5ky+/fZbtmzZgpPT7edMjBo1iqFDh964nZGRQUBAAB07dsTb2/v+n9yYg918dTNV+4dG06X5s/f/WDbCaDEy/+B8vj7+NQC1PWvzuPlxXnr0JeztbXcriMw8E3M3nGb50YsAlPdwZMrT9ehQq1yx5jAajaxfv57OnTvb9OthDeS1sB7yWliPK1euFMnjalqEfHx8MBgMJCYm3nI8MTGR8uXL/+t9w8PDmTlzJhs2bKBRo0Z3/DxHR0ccHf85r8Le3v7Bvql3LVIXT/SsjCFkIAY7+QH5N/FZ8QyLHMbB5IMA9KjTg3eC3mHDnxse/LUowf46msD4X46SkJEHQI+QAEY9XhcPDfcIs+XXw9rIa2E95LXQXlF9/TUtQg4ODjRt2pSNGzfSrVs3ACwWCxs3bmTIkCF3vN/s2bOZNm0af/75J82aNSumtH+TlwHb/6d+3HGMLJ74HzbHbmbs9rFkFGTgbu/OpNaT6Fyls02PuSdm5DHx16P8cSQBgCreLkx/piGta8hO8UIIUZw0HxobOnQo/fr1o1mzZoSEhDBv3jyys7NvXEXWt29f/P39mTFjBgCzZs1i/PjxrFy5ksDAQBIS1DcSNzc33NyKaSfyvQshLw28a0LDF4rnOUsgo9nI3Ki5LD++HIAG3g2Y034OldwraZxMOxaLwjd7Y5n5xwky80zY6XW80q4abz9cEyd7g9bxhBDC5mhehLp3705ycjLjx48nISGBxo0bs27duhsTqGNjY9Hrby539Nlnn1FQUMDzzz9/y+NMmDCBiRMnFn3ggmzY+Yn6cdv3QS9vXrdzKfMSwyKGceTKEQD61OvDe8HvYW+w3VPLMUmZjPrpMHvPXwUgKMCTmc82pG4FD42TCSGE7dK8CAEMGTLkjkNhW7ZsueX2+fPniz7Qv9m3BHKuQNlAORt0B+svrGfC9glkGjPxcPBgauupdKzcUetYmsk3mfl08xk+3RKD0azg4mBgWJfa9G0ZiEEvK0MLIYSWrKIIlRjGPNjxkfpxm6FgkC/f3+Wb8wnfG863J78FIKhcEHPazaGCm+3uir73fCojfzzEmeRsAB6u48vkbg3w97TtVbOFEMJayDv5vTjwNWQlQpkACOqhdRqrEpsRS1hEGMdTjwPQv0F/3mryFvZ62xwKS88xMuvPE6zcHQuAj5sjE5+qxxMNK8j+YEIIYUWkCN0ts+nmlWKt35Erxf7mj3N/MGnnJLKN2Xg6ejKtzTTaVWqndSxNKIrCzwfimL72OClZBYB6SfzIR+tSxsU2S6EQQlgzKUJ36/gvkH4RXHygSW+t01iFPFMes/bO4odTPwAQ7BvMrHazKO/672tAlVanEzMZu/oIu8+lAlDD142p3RrQotoDLNwphBCiSEkRuhuKAjvnqx83HwT2Mr/jXPo5wiLCOHX1FDp0DGo4iDcav4Gd3va+pXILzHy06TRfRp7FZFFwstfz9sM1GdSmGg52+v9+ACGEEJqxvXet+3FxD8RFgcERmg/UOo3mfjvzG1N2TSHXlIuXkxcz2s6gVcVWWsfSxIZjiUz49ShxabkAdKrry4Su9QnwerB97IQQQhQPKUJ34/q6QY1eBDdfbbNoKNeUy/Td01kdsxqAkPIhzGw7k3IuxbsnljW4dDWHib8eY8NxdXsYf09nJj5Vn871/P7jnkIIIayJFKH/cvU8nPhd/bjlm5pG0VLM1RjCIsI4k34GHTpeD3qdVxq9gsHGFpQsMFlYuO0sH208TZ7Rgp1ex6C21Xj74Rq4OMiPkxBClDTym/u/7FsMigWqPwS+dbVOU+wURWF1zGqm755OnjkPH2cfZrWdRUiFEK2jFbudZ64w/pcjnE7KAiCkqhdTuzWglp+7xsmEEELcLylC/8ZUAAdWqB83s725QTnGHKbsmsLvZ9UzYi0rtGRG2xl4O9vWVVCX03KZtvY4aw7FA+Dt6sDox+vybLC/rAkkhBAlnBShf3PiN8hJAfcKUOtRrdMUq5OpJwmLCON8xnn0Oj1DGg9hYMOB6HW2cxVUntHMl5Fnmb8lhjyjBb0OeoZWZtgjdWRNICGEKCWkCP2bfUvU/zfpYzPbaSiKwg+nf2Dm7pkUWArwdfFldrvZNPVrqnW0YqMoCuuPJTJlzTEupqpXg4UEejHhqXrUr1hG43RCCCEKk228u9+PlBg4vxV0egjuq3WaYpFVkMXknZP54/wfALTxb8P0NtMp61RW42TF50xyFpN+O0bkqWQA/DwcGf14XZ4KqijDYEIIUQpJEbqTqGtng2p0Bs8AbbMUg+NXjhMWEUZsZiwGnYF3gt+hX/1+NjMUlpln5ONNMSzedg6TRcHBoGdg26oM6VgDV0f5MRFCiNJKfsPfjtkIB9Ud1GnWX9ssRUxRFL49+S1z9s7BaDFSwbUCs9vNprFvY62jFQuLRWF1dBwz/jhBcmY+AA/V8WXck/Wo6uOqcTohhBBFTYrQ7ZzZrE6SdvFRzwiVUhkFGUzcMZH1F9YD0CGgA1NbT6WMo23Mg9kfe5Upvx/jQGwaAIHeLozvWo+H6siiiEIIYSukCN3OoVXq/xs+X2onSR9JOUJYRBhxWXHY6e0Y2nQovev2tol5MJeu5jBr3Ul+O3gZABcHA0MeqsHANlVxtLOtBSKFEMLWlc53+QeRnwkn1qgfN3pR2yxFQFEUlh9fztyouZgsJvzd/AlvH04DnwZaRytyWfkmPt0cw8Jt5ygwWdDp4PngSoR1qY2fh5PW8YQQQmhAitD/d/x3MOWCdw2oGKx1mkKVnp/O2O1j2XJxCwCdq3RmYquJeDh4aJqrqJktCt/vu0j4X6dIyVLnAbWo5sXYJ+rRwN82hgGFEELcnhSh/+/6sFijl6AUDRNFJ0UzPHI48dnx2OvtGdZ8GC/VfqnUD4Vtj0lhyu/HOJGQCajzgEY9XpdH6vmV+r+7EEKI/yZF6O9yUuFcpPpxg2e1zVJILIqFr45+xUf7P8KkmAhwDyC8fTj1vOtpHa1InUnOYsba42w4ngSAh5Mdbz9ck74tA3Gws40lAYQQQvw3KUJ/d+pPUMzgWx+8q2ud5oFdzbvKmG1j2Bq3FYBHAx9lQssJuDm4aZys6CRl5vHRxtN8s+ciZouCQa+jT4sqvPNwTcq6OmgdTwghhJWRIvR3J9TNRan7pLY5CkFUYhTDI4eTlJOEg96BkaEjeb7m86V2OCgr38QXkWdZuPUsOQVmAB6u48uox+tSw7f0Fj8hhBAPRorQdQU5ELNR/bhOyS1CFsXCosOLmB89H7NiJtAjkPD24dT2qq11tCJRYLLwzZ5YPtp4mivZBQAEBXgy6rE6tKjmrXE6IYQQ1k6K0HVnNqpXi3lWhvINtU5zX67kXmHU1lHsjN8JwJPVnmRci3G42LtonKzwWSwKaw7HE/7XSS5cyQGgqo8rw7rU5rEG5UvtmS8hhBCFS4rQdcevDYvV6VoirxbbE7+HEVtHkJKbgpPBidGho+lWo1upLAQ7zqQw848THLqUDoCPmyPvdKrJS80DsDfIRGghhBB3T4oQgMUCMeo2E9R5Qtss98hsMfPFoS9YcGgBFsVC9TLVCW8fTo2yNbSOVuiOxKUz58+TRFzbGd7VwcAr7aozqG1V2RhVCCHEfZF3D4CEg5BzBRzcISBE6zR3LTknmVFbR7E7YTcA3Wp0Y1TIqFI3FBaTlMnc9adYezgBADu9jp6hlXnroZqUc3fUOJ0QQoiSTIoQwJlN6v+rtgODvbZZ7tKOyzsYtXUUqXmpONs5M67FOLpW76p1rEIVeyWHeRtOsTo6Douijlg+2agiQzvXkp3hhRBCFAopQgAx14pQ9Y7a5rgLJouJT6M/ZeHhhSgo1Cxbk/D24VQrU03raIUmPj2XjzbG8P2+i5gsCgCP1PNj6CO1qFO+dG8HIoQQonhJEcrPhIvq0BLVH9I2y39IyE5gROQI9iftB+CFWi8wvPlwnOxKx4ahyZn5fLolhhW7YykwWQBoX6scQzvXIijAU9twQgghSiUpQhd2gMUInlXAy3rPqmy9tJXR20aTlp+Gq70rE1pO4LGqj2kdq1BczSlgyc4zLN1+nlyjuhhiSFUvwh6pTUhVL43TCSGEKM2kCMWqa+4Q2NYqL5s3Wox8fOBjlhxZAkBdr7rMaT+HKh5VNE724K5kF/DrBT2jP9hK9rXVoIMCPBn2SG1a1/AulZf+CyGEsC5ShGKvDYtVDtU2x23EZ8UzLHIYB5MPAvBS7ZcIax6Go6FkXymVlJnHl5FnWb7rArlGPWCmfkUP3u1Ui051faUACSGEKDa2XYRMBXBZnW9DQAtts/w/m2M3M3b7WDIKMnC3d2dS60l0rtJZ61gPJDEjjwURZ1i5O5b8a3OAAlwVxj4TzCP1K0gBEkIIUexsuwjFHwRTHjh7gU9NrdMAYDQb+XD/h3x97GsAGng3YHb72QS4B2ic7P5dTstlQcQZvt178cYk6CaVPRnSoRqZp/bwUO1yUoKEEEJowraL0MVd6v8rt7CK+UGXMi8xPHI4h1MOA9C7bm+GNh2KfQlZ2+j/i72Sw4LIM3y/7yJGs3oZfPPAsrzzcC1a1/DGZDKx9rTGIYUQQtg02y5CsdeKUID284M2XNjA+O3jyTRm4uHgwdTWU+lY2frXNbqdo5fTWRBxljWHLnNtGSBaVPPi7Ydr0rKaTIIWQghhPWy7CF0+oP6/UnPNIhSYCwjfF843J74BoFG5RsxpN4eKbhU1y3Q/FEVh19lUFkScubEXGKjrAL3RoTqh1bw1TCeEEELcnu0WoZxUyIhTPy7fUJMIsRmxhEWEcTz1OAD9G/TnrSZvYa8vOUNhFovCX8cSWRBxhuiLaQDor22F8Wr7atSvWEbbgEIIIcS/sNkipEs+pn5Qtio4Ff+2DevOrWPizolkG7PxdPRkWptptKvUrthz3K8Ck4XV0XF8HnGGM8nZADja6XmhWSVeaVudyt6la+NXIYQQpZPtFqGka0WomM8G5ZnymL13Nt+f+h6AYN9gZrWbRXnX8sWa436lZhewcvcFlu28QFJmPgDuTnb0bVmFl1tVld3ghRBClCi2W4QSj6ofVGhUbM95Lv0cYRFhnLp6Ch06BjUcxBuN38BOb/0vQ0xSJou2neen/ZdurAHk6+7IoLZV6RFSGXenkjOcJ4QQQlxn/e/ARUSXckr9wK9BsTzfb2d+Y8quKeSacvFy8mJGmxm08m9VLM99vxRFYVtMCgu3nrtlAnQDfw8GtqnKEw0r4mCn1zChEEII8WBstgiRdgEMgHfRLqSYa8plxu4Z/BzzMwDNyzdnVttZlHMpV6TP+yDyjGZ+iY5j8bbznEzMBNRlljrX9WNgm6qEVPWSS+CFEEKUCjZbhHSmXLCzg7JFt3npmbQzhEWEEZMWgw4drwW9xquNXsWgNxTZcz6I2Cs5rNh9gVX7LpKWYwTA1cHAC80C6N86kCrerhonFEIIIQqXzRYhADwrQxGs2qwoCqtjVjN993TyzHn4OPsws+1MQitov3Dj/2e2KEScSuLrnRfYcioZ5doCiP6ezrzcKpAXmwdQxlnm/wghhCidbLsIedco9IfMMeYwdddUfjv7GwAtKrRgRtsZ+Dj7FPpzPYjU7AK+23eRFbsvcDE198bx9rXK0adFFTrW8cWgl+EvIYQQpZuNF6HqhfpwJ1NPMixyGOfSz6HX6Xmz8ZsMajgIvc46JhQrikLUhaus3B3L74fjb2yAWsbZnhebVaJXaBUCfWT4SwghhO2w7SLkVThFSFEUfjj9A7P2zCLfnI+vsy+z2s2iWflmhfL4DyolK5+f9l9i1d6LNxY/BGjoX4Y+LavQtVFFnB2sc96SEEIIUZRsuwiVDXzgh8gqyGLyzsn8cf4PANr4t2Fam2l4OXk98GM/CLNFIfJUMqv2XmTD8URM13Y/dbY38ESjCvRuUYWgSmXk6i8hhBA2zbaLkMeDbWx6/MpxwiLCiM2MxaAz8Hbw27xc/2VNh8Jir+TwfdRFvt93iYSMvBvHgwI86d4sgK5BFWTxQyGEEOIa2y5C7hXu626KorDq5Cpm752N0WKkvGt55rSbQ2PfxoWb7y6l5RSw5nA8P++PY9+FqzeOe7rY80wTf7o3D6BO+eLfT00IIYSwdjZbhBSdHbjc+/BVZkEmE3ZMYP2F9QB0qNSBqW2mUsaxeHdZzzeZ2XwiiZ/2x7H5ZBJGszr0pdNBmxo+dG8eQOd6fjjaydwfIYQQ4k5stgjh7qe2hntwJOUIYRFhxGXFYae3473g9+hTr0+xzbMxWxT2nk/ll+g41hyKJyPPdOPP6lbw4JkmFXkqyJ/yZZyKJY8QQghR0tlsEVKcyt795yoKK46v4IOoDzBZTPi7+TOn3Rwaliv6nevNFoU951JZeziedUcTSL624ztAeQ8nnm5SkWea+MvQlxBCCHEfbLYI4eByV5+Wnp/OuO3j2HxxMwCdKndiUutJeDgUXfEwWxR2n7uilp8jiaRk3Sw/Hk52dKlfnmeC/Qmt6i2LHgohhBAPwHaLkP1/F6GDyQcZFjGM+Ox47PX2hDULo0edHkUyFJZnNLM9JoUNx5NYfyyBlKyCG39WxtmeR+r58XijCrSu7iM7vgshhBCFxHaLkJ3zHf/Iolj46uhXfLT/I0yKiQD3AMLbh1PPu16hRkjKyGPjiSQ2Hk9kW0wKeUbLjT8r42xPl/p+PN6wAq2k/AghhBBFwnaL0B2Gxq7mXWXs9rFEXooE4NHAR5nQcgJuDm4P/JRmi8LhuHQiTyWz8XgiBy+l3/LnFcs48VBdXzrXK0+r/2vv7mOavNc+gH+h0CIGCtrD61AGIuArEQYPoCvukLCgbmTJ0cyNscWXGXHZJMeJqEOHE+fUuSiT6GT6JDici7pFidOxFQeyxwnFeCboQXD4sjJBRQQVaH/PHzt2VvAcyoG29P5+kib647p7X3cvyn3ld78Fj4SzjM0PERHRYJJsIySce84IVTVVYdnJZfi943fIHeVYHr0cfxv7t//qUNivLe348Z/NKK9rxqlLLWi912Xy88lPKfHXcG/8NdwL43zdeadnIiIiC5JsI/TooTGDMKDgHwXYrt0OvdAj0D0Qm9SbEDoi1Oy3vXqrA2cu38L/NdxEWd0Nkye7A4CbixPigkdieqgXngvzgpc7L3UnIiKyFuk2Qv+aEWq514Kssiycun4KADAzaCZW/89quPbhZGqDQeDi7234ueEmfr58C2cu38T11vsmMU6ODpgyyhNTQ1SYGqLCJH8lnHjIi4iIyCbYRCOUl5eHjz76CDqdDpMnT8a2bdsQHR39xPgDBw5g9erVuHz5MkJCQvDhhx8iOTnZvJU6u+Jn3c9YfnI5bty7AReZC7JispAyJqXXw1MGg0B9czvOXbuNc1fv4B/XWvHL9Va0d+pN4mSODpjgr0TUaE/EjxmJmKdHYrjCJj5mIiIieozV99D79+9HRkYG8vPzERMTg61btyIpKQkXLlyAl5dXj/hTp07h5ZdfRm5uLmbOnIl9+/YhJSUFVVVVmDBhQp/XW9BWg/89vh8GYUCQMgib1ZsxxnMM9AaBKy3tuHTjLup+/9frxl1c1LX1aHoAwFUuw5RRnogK9ER04AhEjPKAq9zqHysRERH1gdX32Fu2bMGCBQvwxhtvAADy8/Nx9OhRFBQUIDMzs0f8J598gueffx7Lli0DAOTk5ODEiRPYvn078vPz+7ze3TcrIRsmQ5DLdATcm4us/TdwvbURTXfuG5/b9bhhzjKM83PHRH8lJvgrMdFfieC/DOehLiIioiHKqo1QZ2cnKisrsWLFCuOYo6MjEhMTUVFR0esyFRUVyMjIMBlLSkrC4cOHe41/8OABHjz4887Mra1/XLIu2oH26y9A2xYBLa6YLCN3ckTgSFc8PdIVT6uG4+mRrgj+y3AEqoY/difnTrTe7gT1T1dXFzo6OtDS0gJnZ2drpyN5rIftYC1sB2thO27evAngj8deDSSrNkLNzc3Q6/Xw9vY2Gff29kZtbW2vy+h0ul7jdTpdr/G5ublYu3Ztj/Hav9cAqHlibpf+Q+5ERERkeS0tLVAqlQP2flY/NDbYVqxYYTKDdPv2bYwePRqNjY0D+kGS+e7cuYOAgABcuXIF7u58aKy1sR62g7WwHayF7WhtbcWoUaMwYsSIAX1fqzZCKpUKMpkMTU1NJuNNTU3w8fHpdRkfHx+z4hUKBRQKRY9xpVLJX2ob4e7uzlrYENbDdrAWtoO1sB2OjgN7Xq5Vz/KVy+WIjIxESUmJccxgMKCkpASxsbG9LhMbG2sSDwAnTpx4YjwRERHRk1j90FhGRgbS0tIQFRWF6OhobN26Fe3t7caryF577TX4+/sjNzcXAPD2229DrVZj8+bNmDFjBoqKinDmzBns3LnTmptBREREQ5DVG6E5c+bgxo0beO+996DT6RAREYFjx44ZT4hubGw0mQaLi4vDvn37sGrVKmRlZSEkJASHDx/u8z2EFAoFsrOzez1cRpbFWtgW1sN2sBa2g7WwHYNVCwcx0NehEREREQ0RvBMgERERSRYbISIiIpIsNkJEREQkWWyEiIiISLLsshHKy8tDYGAgXFxcEBMTg9OnT//b+AMHDiAsLAwuLi6YOHEiiouLLZSp/TOnFrt27cK0adPg6ekJT09PJCYm/sfakXnM/W48VFRUBAcHB6SkpAxughJibi1u376N9PR0+Pr6QqFQYOzYsfxbNUDMrcXWrVsRGhqKYcOGISAgAEuXLsX9+/ctlK39OnnyJGbNmgU/Pz84ODg88Rmij9JoNJgyZQoUCgXGjBmDPXv2mL9iYWeKioqEXC4XBQUF4pdffhELFiwQHh4eoqmpqdf48vJyIZPJxMaNG8X58+fFqlWrhLOzszh37pyFM7c/5tZi7ty5Ii8vT2i1WlFTUyNef/11oVQqxdWrVy2cuX0ytx4PNTQ0CH9/fzFt2jTx4osvWiZZO2duLR48eCCioqJEcnKyKCsrEw0NDUKj0Yjq6moLZ25/zK1FYWGhUCgUorCwUDQ0NIhvv/1W+Pr6iqVLl1o4c/tTXFwsVq5cKQ4ePCgAiEOHDv3b+Pr6euHq6ioyMjLE+fPnxbZt24RMJhPHjh0za7121whFR0eL9PR04//1er3w8/MTubm5vcbPnj1bzJgxw2QsJiZGvPnmm4OapxSYW4vHdXd3Czc3N7F3797BSlFS+lOP7u5uERcXJz777DORlpbGRmiAmFuLHTt2iKCgINHZ2WmpFCXD3Fqkp6eL5557zmQsIyNDxMfHD2qeUtOXRujdd98V48ePNxmbM2eOSEpKMmtddnVorLOzE5WVlUhMTDSOOTo6IjExERUVFb0uU1FRYRIPAElJSU+Mp77pTy0e19HRga6urgF/wJ4U9bce77//Pry8vDBv3jxLpCkJ/anFN998g9jYWKSnp8Pb2xsTJkzA+vXrodfrLZW2XepPLeLi4lBZWWk8fFZfX4/i4mIkJydbJGf600Dtv61+Z+mB1NzcDL1eb7wr9UPe3t6ora3tdRmdTtdrvE6nG7Q8paA/tXjc8uXL4efn1+MXnczXn3qUlZVh9+7dqK6utkCG0tGfWtTX1+P777/HK6+8guLiYtTV1WHx4sXo6upCdna2JdK2S/2pxdy5c9Hc3IypU6dCCIHu7m4sWrQIWVlZlkiZHvGk/fedO3dw7949DBs2rE/vY1czQmQ/NmzYgKKiIhw6dAguLi7WTkdy2trakJqail27dkGlUlk7HckzGAzw8vLCzp07ERkZiTlz5mDlypXIz8+3dmqSo9FosH79enz66aeoqqrCwYMHcfToUeTk5Fg7Neonu5oRUqlUkMlkaGpqMhlvamqCj49Pr8v4+PiYFU99059aPLRp0yZs2LAB3333HSZNmjSYaUqGufW4dOkSLl++jFmzZhnHDAYDAMDJyQkXLlxAcHDw4CZtp/rz3fD19YWzszNkMplxLDw8HDqdDp2dnZDL5YOas73qTy1Wr16N1NRUzJ8/HwAwceJEtLe3Y+HChVi5cqXJszFpcD1p/+3u7t7n2SDAzmaE5HI5IiMjUVJSYhwzGAwoKSlBbGxsr8vExsaaxAPAiRMnnhhPfdOfWgDAxo0bkZOTg2PHjiEqKsoSqUqCufUICwvDuXPnUF1dbXy98MILmD59OqqrqxEQEGDJ9O1Kf74b8fHxqKurMzajAHDx4kX4+vqyCfov9KcWHR0dPZqdhw2q4KM7LWrA9t/mncdt+4qKioRCoRB79uwR58+fFwsXLhQeHh5Cp9MJIYRITU0VmZmZxvjy8nLh5OQkNm3aJGpqakR2djYvnx8g5tZiw4YNQi6Xi6+++kr89ttvxldbW5u1NsGumFuPx/GqsYFjbi0aGxuFm5ubWLJkibhw4YI4cuSI8PLyEuvWrbPWJtgNc2uRnZ0t3NzcxBdffCHq6+vF8ePHRXBwsJg9e7a1NsFutLW1Ca1WK7RarQAgtmzZIrRarfj111+FEEJkZmaK1NRUY/zDy+eXLVsmampqRF5eHi+ff2jbtm1i1KhRQi6Xi+joaPHTTz8Zf6ZWq0VaWppJ/JdffinGjh0r5HK5GD9+vDh69KiFM7Zf5tRi9OjRAkCPV3Z2tuUTt1PmfjcexUZoYJlbi1OnTomYmBihUChEUFCQ+OCDD0R3d7eFs7ZP5tSiq6tLrFmzRgQHBwsXFxcREBAgFi9eLG7dumX5xO3MDz/80Os+4OHnn5aWJtRqdY9lIiIihFwuF0FBQeLzzz83e70OQnAuj4iIiKTJrs4RIiIiIjIHGyEiIiKSLDZCREREJFlshIiIiEiy2AgRERGRZLERIiIiIsliI0RERESSxUaIiIiIJIuNEBEREUkWGyEiGnI6OzutnQIR2Qk2QkRk8xISErBkyRK88847UKlUSEpKQmlpKaKjo6FQKODr64vMzEx0d3cDAI4cOQIPDw/o9XoAQHV1NRwcHJCZmWl8z/nz5+PVV1+1yvYQke1gI0REQ8LevXshl8tRXl6ONWvWIDk5Gc888wzOnj2LHTt2YPfu3Vi3bh0AYNq0aWhra4NWqwUAlJaWQqVSQaPRGN+vtLQUCQkJVtgSIrIlbISIaEgICQnBxo0bERoaiuPHjyMgIADbt29HWFgYUlJSsHbtWmzevBkGgwFKpRIRERHGxkej0WDp0qXQarW4e/curl27hrq6OqjVautuFBFZHRshIhoSIiMjjf+uqalBbGwsHBwcjGPx8fG4e/curl69CgBQq9XQaDQQQuDHH3/ESy+9hPDwcJSVlaG0tBR+fn4ICQmx+HYQkW1xsnYCRER9MXz4cLPiExISUFBQgLNnz8LZ2RlhYWFISEiARqPBrVu3OBtERAA4I0REQ1B4eDgqKioghDCOlZeXw83NDU899RSAP88T+vjjj41Nz8NGSKPR8PwgIgLARoiIhqDFixfjypUreOutt1BbW4uvv/4a2dnZyMjIgKPjH3/WPD09MWnSJBQWFhqbnmeffRZVVVW4ePEiZ4SICAAbISIagvz9/VFcXIzTp09j8uTJWLRoEebNm4dVq1aZxKnVauj1emMjNGLECIwbNw4+Pj4IDQ21QuZEZGscxKNzy0REREQSwhkhIiIikiw2QkRERCRZbISIiIhIstgIERERkWSxESIiIiLJYiNEREREksVGiIiIiCSLjRARERFJFhshIiIikiw2QkRERCRZbISIiIhIstgIERERkWT9Py5Qj+eIH90OAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y1,label='1.5')\n",
    "plt.plot(x,y2,label='0.5')\n",
    "plt.plot(x,y3,label='1.0')\n",
    "plt.legend() #显示图例\n",
    "plt.xlabel('row')\n",
    "plt.ylabel('col')\n",
    "plt.grid() #网格\n",
    "plt.xlim([0,1])#起始\n",
    "plt.ylim([0,1])#起始\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e754202-7ba8-4924-be42-1281f7c8a376",
   "metadata": {},
   "source": [
    "### 直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "259f06b4-0955-4aaa-baa8-593270a900e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = np.random.randint(0,101,10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "44c880c2-38d3-494a-b660-5f35a477a773",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2tsaPH887kAAAQPAD5o477tCWLVs0Z84c5eTkKCkpSStWrFBGRoYzZ9asWbp48aImTZqkmpoaDRs2TNu3b1dUVJQzp6CgQNnZ2Ro+fLhCQ0M1btw4rVy5MtjLBQAAFgp6wEjS3Xffrbvvvvuq4yEhIcrJyVFOTs5V58TFxWnjxo1NsTwAAGA5vgsJAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANZp8oBZsmSJQkJCNG3aNOfcpUuXlJWVpc6dO6tDhw4aN26cKisrA2535swZpaenq127doqPj9fMmTN1+fLlpl4uAACwQJMGTFlZmf7617/q1ltvDTg/ffp0bdu2TZs3b9bOnTt17tw53Xvvvc54Y2Oj0tPTVV9frz179mjDhg1av3695s+f35TLBQAAlmiygLlw4YIyMjK0du1aderUyTlfW1url156ScuXL9ddd92lgQMHat26ddqzZ4/27t0rSXrvvfd07Ngxvfrqq+rfv79GjRqlRYsWKS8vT/X19U21ZAAAYIkmC5isrCylp6crNTU14Hx5ebkaGhoCzvfq1UuJiYkqKSmRJJWUlKhfv35yuVzOnLS0NPl8Ph09evSKj1dXVyefzxdwAACA1im8Ke5006ZNOnDggMrKyr4z5vV6FRERodjY2IDzLpdLXq/XmfPNePl6/OuxK8nNzdXChQuDsHoAANDSBf0KTEVFhaZOnaqCggJFRUUF++6vas6cOaqtrXWOioqKG/bYAADgxgp6wJSXl6uqqkq33367wsPDFR4erp07d2rlypUKDw+Xy+VSfX29ampqAm5XWVkpt9stSXK73d95V9LXP38959siIyMVHR0dcAAAgNYp6AEzfPhwHT58WIcOHXKO5ORkZWRkOH9u06aNiouLnducOHFCZ86ckcfjkSR5PB4dPnxYVVVVzpyioiJFR0erT58+wV4yAACwTNBfA9OxY0f17ds34Fz79u3VuXNn5/yECRM0Y8YMxcXFKTo6WlOmTJHH49HgwYMlSSNGjFCfPn304IMPaunSpfJ6vZo7d66ysrIUGRkZ7CUDAADLNMmLeL/P888/r9DQUI0bN051dXVKS0vTiy++6IyHhYWpsLBQkydPlsfjUfv27ZWZmamcnJzmWC4AAGhhbkjAfPDBBwE/R0VFKS8vT3l5eVe9Tffu3fX222838coAAICN+C4kAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANYhYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGCdoAdMbm6u7rjjDnXs2FHx8fEaO3asTpw4ETDn0qVLysrKUufOndWhQweNGzdOlZWVAXPOnDmj9PR0tWvXTvHx8Zo5c6YuX74c7OUCAAALBT1gdu7cqaysLO3du1dFRUVqaGjQiBEjdPHiRWfO9OnTtW3bNm3evFk7d+7UuXPndO+99zrjjY2NSk9PV319vfbs2aMNGzZo/fr1mj9/frCXCwAALBQe7Dvcvn17wM/r169XfHy8ysvLdeedd6q2tlYvvfSSNm7cqLvuukuStG7dOvXu3Vt79+7V4MGD9d577+nYsWP6+9//LpfLpf79+2vRokV64okn9NRTTykiIiLYywYAABZp8tfA1NbWSpLi4uIkSeXl5WpoaFBqaqozp1evXkpMTFRJSYkkqaSkRP369ZPL5XLmpKWlyefz6ejRo1d8nLq6Ovl8voADAAC0Tk0aMH6/X9OmTdPQoUPVt29fSZLX61VERIRiY2MD5rpcLnm9XmfON+Pl6/Gvx64kNzdXMTExztGtW7cgPxsAANBSNGnAZGVl6ciRI9q0aVNTPowkac6cOaqtrXWOioqKJn9MAADQPIL+GpivZWdnq7CwULt27dJNN93knHe73aqvr1dNTU3AVZjKykq53W5nzr59+wLu7+t3KX0959siIyMVGRkZ5GcBAABaoqBfgTHGKDs7W1u2bNGOHTuUlJQUMD5w4EC1adNGxcXFzrkTJ07ozJkz8ng8kiSPx6PDhw+rqqrKmVNUVKTo6Gj16dMn2EsGAACWCfoVmKysLG3cuFFvvvmmOnbs6LxmJSYmRm3btlVMTIwmTJigGTNmKC4uTtHR0ZoyZYo8Ho8GDx4sSRoxYoT69OmjBx98UEuXLpXX69XcuXOVlZXFVRYAABD8gFm9erUk6Ve/+lXA+XXr1umhhx6SJD3//PMKDQ3VuHHjVFdXp7S0NL344ovO3LCwMBUWFmry5MnyeDxq3769MjMzlZOTE+zlAgAACwU9YIwx3zsnKipKeXl5ysvLu+qc7t276+233w7m0gAAQCvBdyEBAADrEDAAAMA6BAwAALAOAQMAAKxDwAAAAOsQMAAAwDoEDAAAsA4BAwAArEPAAAAA6xAwAADAOgQMAACwDgEDAACsQ8AAAADrEDAAAMA6BAwAALAOAQMAAKxDwAAAAOsQMAAAwDoEDAAAsA4BAwAArEPAAAAA6xAwAADAOgQMAACwDgEDAACsQ8AAAADrEDAAAMA6BAwAALAOAQMAAKxDwAAAAOsQMAAAwDoEDAAAsA4BAwAArEPAAAAA6xAwAADAOgQMAACwDgEDAACsQ8AAAADrEDAAAMA6BAwAALAOAQMAAKxDwAAAAOsQMAAAwDoEDAAAsA4BAwAArEPAAAAA6xAwAADAOgQMAACwDgEDAACsQ8AAAADrEDAAAMA6BAwAALAOAQMAAKxDwAAAAOu06IDJy8tTjx49FBUVpZSUFO3bt6+5lwQAAFqAFhswf/vb3zRjxgwtWLBABw4c0G233aa0tDRVVVU199IAAEAza7EBs3z5ck2cOFEPP/yw+vTpo/z8fLVr104vv/xycy8NAAA0s/DmXsCV1NfXq7y8XHPmzHHOhYaGKjU1VSUlJVe8TV1dnerq6pyfa2trJUk+ny/o6/PXfRn0+wy2Kz1vG9dt45ol1t2U+N/IjcNe3zitZa+Deb/GmP8+0bRAZ8+eNZLMnj17As7PnDnTDBo06Iq3WbBggZHEwcHBwcHB0QqOioqK/9oKLfIKzA8xZ84czZgxw/nZ7/erurpanTt3VkhIyI++f5/Pp27duqmiokLR0dE/+v5wdez1jcNe3zjs9Y3DXt9Ywd5vY4zOnz+vhISE/zqvRQZMly5dFBYWpsrKyoDzlZWVcrvdV7xNZGSkIiMjA87FxsYGfW3R0dH8H+IGYa9vHPb6xmGvbxz2+sYK5n7HxMR875wW+SLeiIgIDRw4UMXFxc45v9+v4uJieTyeZlwZAABoCVrkFRhJmjFjhjIzM5WcnKxBgwZpxYoVunjxoh5++OHmXhoAAGhmLTZgfv/73+uf//yn5s+fL6/Xq/79+2v79u1yuVzNsp7IyEgtWLDgO7+mQvCx1zcOe33jsNc3Dnt9YzXXfocY833vUwIAAGhZWuRrYAAAAP4bAgYAAFiHgAEAANYhYAAAgHUImGuUl5enHj16KCoqSikpKdq3b19zL8lqubm5uuOOO9SxY0fFx8dr7NixOnHiRMCcS5cuKSsrS507d1aHDh00bty473y4Ia7fkiVLFBISomnTpjnn2OvgOnv2rB544AF17txZbdu2Vb9+/bR//35n3Bij+fPnq2vXrmrbtq1SU1N16tSpZlyxnRobGzVv3jwlJSWpbdu2uvnmm7Vo0aKA79Bhr3+YXbt26Z577lFCQoJCQkK0devWgPFr2dfq6mplZGQoOjpasbGxmjBhgi5cuBC8Rf74by5q/TZt2mQiIiLMyy+/bI4ePWomTpxoYmNjTWVlZXMvzVppaWlm3bp15siRI+bQoUNm9OjRJjEx0Vy4cMGZ8+ijj5pu3bqZ4uJis3//fjN48GAzZMiQZly1/fbt22d69Ohhbr31VjN16lTnPHsdPNXV1aZ79+7moYceMqWlpebTTz817777rvnkk0+cOUuWLDExMTFm69at5qOPPjK/+c1vTFJSkvnqq6+aceX2Wbx4sencubMpLCw0p0+fNps3bzYdOnQwL7zwgjOHvf5h3n77bfPkk0+aN954w0gyW7ZsCRi/ln0dOXKkue2228zevXvNhx9+aH7+85+b+++/P2hrJGCuwaBBg0xWVpbzc2Njo0lISDC5ubnNuKrWpaqqykgyO3fuNMYYU1NTY9q0aWM2b97szDl+/LiRZEpKSpprmVY7f/686dmzpykqKjK//OUvnYBhr4PriSeeMMOGDbvquN/vN2632zz33HPOuZqaGhMZGWlee+21G7HEViM9Pd088sgjAefuvfdek5GRYYxhr4Pl2wFzLft67NgxI8mUlZU5c9555x0TEhJizp49G5R18Suk71FfX6/y8nKlpqY650JDQ5WamqqSkpJmXFnrUltbK0mKi4uTJJWXl6uhoSFg33v16qXExET2/QfKyspSenp6wJ5K7HWwvfXWW0pOTtZ9992n+Ph4DRgwQGvXrnXGT58+La/XG7DfMTExSklJYb+v05AhQ1RcXKyTJ09Kkj766CPt3r1bo0aNksReN5Vr2deSkhLFxsYqOTnZmZOamqrQ0FCVlpYGZR0t9pN4W4p//etfamxs/M4nALtcLv3jH/9oplW1Ln6/X9OmTdPQoUPVt29fSZLX61VERMR3vpDT5XLJ6/U2wyrttmnTJh04cEBlZWXfGWOvg+vTTz/V6tWrNWPGDP3pT39SWVmZHn/8cUVERCgzM9PZ0yv9ncJ+X5/Zs2fL5/OpV69eCgsLU2NjoxYvXqyMjAxJYq+byLXsq9frVXx8fMB4eHi44uLigrb3BAyaXVZWlo4cOaLdu3c391JapYqKCk2dOlVFRUWKiopq7uW0en6/X8nJyXrmmWckSQMGDNCRI0eUn5+vzMzMZl5d6/L666+roKBAGzdu1C233KJDhw5p2rRpSkhIYK//B/ArpO/RpUsXhYWFfecdGZWVlXK73c20qtYjOztbhYWFev/993XTTTc5591ut+rr61VTUxMwn32/fuXl5aqqqtLtt9+u8PBwhYeHa+fOnVq5cqXCw8PlcrnY6yDq2rWr+vTpE3Cud+/eOnPmjCQ5e8rfKT/ezJkzNXv2bI0fP179+vXTgw8+qOnTpys3N1cSe91UrmVf3W63qqqqAsYvX76s6urqoO09AfM9IiIiNHDgQBUXFzvn/H6/iouL5fF4mnFldjPGKDs7W1u2bNGOHTuUlJQUMD5w4EC1adMmYN9PnDihM2fOsO/Xafjw4Tp8+LAOHTrkHMnJycrIyHD+zF4Hz9ChQ7/zkQAnT55U9+7dJUlJSUlyu90B++3z+VRaWsp+X6cvv/xSoaGB/4yFhYXJ7/dLYq+byrXsq8fjUU1NjcrLy505O3bskN/vV0pKSnAWEpSXArdymzZtMpGRkWb9+vXm2LFjZtKkSSY2NtZ4vd7mXpq1Jk+ebGJiYswHH3xgPv/8c+f48ssvnTmPPvqoSUxMNDt27DD79+83Ho/HeDyeZlx16/HNdyEZw14H0759+0x4eLhZvHixOXXqlCkoKDDt2rUzr776qjNnyZIlJjY21rz55pvm448/NmPGjOGtvT9AZmam+elPf+q8jfqNN94wXbp0MbNmzXLmsNc/zPnz583BgwfNwYMHjSSzfPlyc/DgQfPZZ58ZY65tX0eOHGkGDBhgSktLze7du03Pnj15G3VzWLVqlUlMTDQRERFm0KBBZu/evc29JKtJuuKxbt06Z85XX31lHnvsMdOpUyfTrl0789vf/tZ8/vnnzbfoVuTbAcNeB9e2bdtM3759TWRkpOnVq5dZs2ZNwLjf7zfz5s0zLpfLREZGmuHDh5sTJ04002rt5fP5zNSpU01iYqKJiooyP/vZz8yTTz5p6urqnDns9Q/z/vvvX/Hv6MzMTGPMte3rv//9b3P//febDh06mOjoaPPwww+b8+fPB22NIcZ84yMLAQAALMBrYAAAgHUIGAAAYB0CBgAAWIeAAQAA1iFgAACAdQgYAABgHQIGAABYh4ABAADWIWAAAIB1CBgAAGAdAgYAAFiHgAEAANb5/91cejTzXACjAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(a,rwidth=0.9)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "b0ded496-87fc-4660-a061-258a4facd0d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = np.arange(-0.5,101,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "a48d6f29-12bf-442e-86fb-b7dcbcfd7b67",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(a,bins)\n",
    "plt.show()"
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